diff --git a/engine/src/flutter/ci/pubspec.yaml b/engine/src/flutter/ci/pubspec.yaml
index 85639d87f8..8a662bdd57 100644
--- a/engine/src/flutter/ci/pubspec.yaml
+++ b/engine/src/flutter/ci/pubspec.yaml
@@ -5,7 +5,7 @@
 name: ci_scripts
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/flutter_frontend_server/pubspec.yaml b/engine/src/flutter/flutter_frontend_server/pubspec.yaml
index 8861b9d217..2f0d37c558 100644
--- a/engine/src/flutter/flutter_frontend_server/pubspec.yaml
+++ b/engine/src/flutter/flutter_frontend_server/pubspec.yaml
@@ -18,7 +18,7 @@ homepage: https://flutter.dev
 # relative to this directory into //third_party/dart
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   args: any
diff --git a/engine/src/flutter/impeller/golden_tests_harvester/pubspec.yaml b/engine/src/flutter/impeller/golden_tests_harvester/pubspec.yaml
index 04e93ab85e..bbb49e9cab 100644
--- a/engine/src/flutter/impeller/golden_tests_harvester/pubspec.yaml
+++ b/engine/src/flutter/impeller/golden_tests_harvester/pubspec.yaml
@@ -5,7 +5,7 @@
 name: golden_tests_harvester
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/dart/pkg, //third_party/dart/third_party/pkg, or
diff --git a/engine/src/flutter/impeller/tessellator/dart/pubspec.yaml b/engine/src/flutter/impeller/tessellator/dart/pubspec.yaml
index fc17320855..12ec6ec21b 100644
--- a/engine/src/flutter/impeller/tessellator/dart/pubspec.yaml
+++ b/engine/src/flutter/impeller/tessellator/dart/pubspec.yaml
@@ -8,4 +8,4 @@ publish_to: none
 homepage: https://github.com/flutter/impeller/tree/main/tessellator/dart
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/lib/gpu/pubspec.yaml b/engine/src/flutter/lib/gpu/pubspec.yaml
index a45d82dab1..204f445df0 100644
--- a/engine/src/flutter/lib/gpu/pubspec.yaml
+++ b/engine/src/flutter/lib/gpu/pubspec.yaml
@@ -7,7 +7,7 @@ description: A framework for writing Flutter applications
 homepage: https://flutter.dev
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   sky_engine:
diff --git a/engine/src/flutter/lib/snapshot/pubspec.yaml b/engine/src/flutter/lib/snapshot/pubspec.yaml
index bb7cd30be4..0fa6a26f9e 100644
--- a/engine/src/flutter/lib/snapshot/pubspec.yaml
+++ b/engine/src/flutter/lib/snapshot/pubspec.yaml
@@ -5,4 +5,4 @@
 # This file is needed by Fuchsia's dart_library template.
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/lib/web_ui/dev/test_platform.dart b/engine/src/flutter/lib/web_ui/dev/test_platform.dart
index d9d717a1c4..da32db94ca 100644
--- a/engine/src/flutter/lib/web_ui/dev/test_platform.dart
+++ b/engine/src/flutter/lib/web_ui/dev/test_platform.dart
@@ -1004,7 +1004,7 @@ class BrowserManager {
           final String pathToTest = p.dirname(path);
 
           final String mapPath = p.join(
-            _sourceMapDirectory!.path,
+            _sourceMapDirectory.path,
             pathToTest,
             sourceMapFileName
           );
diff --git a/engine/src/flutter/lib/web_ui/lib/src/engine/canvaskit/layer.dart b/engine/src/flutter/lib/web_ui/lib/src/engine/canvaskit/layer.dart
index 9a8c37b75e..74f8148b2c 100644
--- a/engine/src/flutter/lib/web_ui/lib/src/engine/canvaskit/layer.dart
+++ b/engine/src/flutter/lib/web_ui/lib/src/engine/canvaskit/layer.dart
@@ -406,8 +406,7 @@ class ImageFilterEngineLayer extends ContainerLayer
     prerollContext.mutatorsStack.pushTransform(transform);
     final ui.Rect childPaintBounds =
         prerollChildren(prerollContext, childMatrix);
-    (_filter as CkManagedSkImageFilterConvertible)
-        .imageFilter((SkImageFilter filter) {
+    _filter.imageFilter((SkImageFilter filter) {
       paintBounds =
           rectFromSkIRect(filter.getOutputBounds(toSkRect(childPaintBounds)));
     });
diff --git a/engine/src/flutter/lib/web_ui/pubspec.yaml b/engine/src/flutter/lib/web_ui/pubspec.yaml
index 3eb5e98ebb..c88e1a6df2 100644
--- a/engine/src/flutter/lib/web_ui/pubspec.yaml
+++ b/engine/src/flutter/lib/web_ui/pubspec.yaml
@@ -3,7 +3,7 @@ publish_to: none
 
 # Keep the SDK version range in sync with pubspecs under web_sdk
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   js: 0.6.4
diff --git a/engine/src/flutter/lib/web_ui/test/common/fake_asset_manager.dart b/engine/src/flutter/lib/web_ui/test/common/fake_asset_manager.dart
index d87b071da5..b6f8c176e5 100644
--- a/engine/src/flutter/lib/web_ui/test/common/fake_asset_manager.dart
+++ b/engine/src/flutter/lib/web_ui/test/common/fake_asset_manager.dart
@@ -81,7 +81,7 @@ class FakeAssetScope {
       return fetcher();
     }
     if (_parent != null) {
-      return _parent!.getAssetData(assetKey);
+      return _parent.getAssetData(assetKey);
     }
     return null;
   }
diff --git a/engine/src/flutter/shell/platform/fuchsia/dart-pkg/fuchsia/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/dart-pkg/fuchsia/pubspec.yaml
index 16fe4cdd83..85d01ce151 100644
--- a/engine/src/flutter/shell/platform/fuchsia/dart-pkg/fuchsia/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/dart-pkg/fuchsia/pubspec.yaml
@@ -3,4 +3,4 @@
 # found in the LICENSE file.
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon/pubspec.yaml
index 121b528580..c75e7f8ff6 100644
--- a/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon/pubspec.yaml
@@ -5,7 +5,7 @@
 name: zircon
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 
 # Uncomment block for local testing
diff --git a/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon_ffi/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon_ffi/pubspec.yaml
index 5e3507cef3..e30ca0196f 100644
--- a/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon_ffi/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/dart-pkg/zircon_ffi/pubspec.yaml
@@ -1,7 +1,7 @@
 name: zircon_ffi
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   ffi: ^1.0.0
diff --git a/engine/src/flutter/shell/platform/fuchsia/dart_runner/embedder/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/dart_runner/embedder/pubspec.yaml
index 0bda0be6f7..d1ccbe7700 100644
--- a/engine/src/flutter/shell/platform/fuchsia/dart_runner/embedder/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/dart_runner/embedder/pubspec.yaml
@@ -6,5 +6,5 @@
 # template in BUILD.gn.
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
diff --git a/engine/src/flutter/shell/platform/fuchsia/dart_runner/vmservice/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/dart_runner/vmservice/pubspec.yaml
index 09da15ac00..df2ce1ab10 100644
--- a/engine/src/flutter/shell/platform/fuchsia/dart_runner/vmservice/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/dart_runner/vmservice/pubspec.yaml
@@ -3,5 +3,5 @@
 # found in the LICENSE file.
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/kernel/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/kernel/pubspec.yaml
index 16fe4cdd83..85d01ce151 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/kernel/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/kernel/pubspec.yaml
@@ -3,4 +3,4 @@
 # found in the LICENSE file.
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/child-view/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/child-view/pubspec.yaml
index fc1d582237..89f565db29 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/child-view/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/child-view/pubspec.yaml
@@ -5,4 +5,4 @@
 name: child_view2
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/parent-view/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/parent-view/pubspec.yaml
index 201cf3fa56..1ee7f0c304 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/parent-view/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/embedder/parent-view/pubspec.yaml
@@ -5,4 +5,4 @@
 name: parent-view2
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/mouse-input/mouse-input-view/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/mouse-input/mouse-input-view/pubspec.yaml
index c3196484ca..40e52bb3bb 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/mouse-input/mouse-input-view/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/mouse-input/mouse-input-view/pubspec.yaml
@@ -5,4 +5,4 @@
 name: mouse-input-view
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/text-input/text-input-view/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/text-input/text-input-view/pubspec.yaml
index f15d937999..21d9b7d9c0 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/text-input/text-input-view/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/text-input/text-input-view/pubspec.yaml
@@ -5,4 +5,4 @@
 name: text-input-view
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/embedding-flutter-view/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/embedding-flutter-view/pubspec.yaml
index 5051384ec5..e929bdaaa7 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/embedding-flutter-view/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/embedding-flutter-view/pubspec.yaml
@@ -5,4 +5,4 @@
 name: embedding-flutter-view
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/touch-input-view/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/touch-input-view/pubspec.yaml
index 3e8e25f294..7fc83f8c32 100644
--- a/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/touch-input-view/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/flutter/tests/integration/touch-input/touch-input-view/pubspec.yaml
@@ -5,4 +5,4 @@
 name: touch-input-view
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/shell/platform/fuchsia/runtime/dart/profiler_symbols/pubspec.yaml b/engine/src/flutter/shell/platform/fuchsia/runtime/dart/profiler_symbols/pubspec.yaml
index 519e6f49fd..7076e2a537 100644
--- a/engine/src/flutter/shell/platform/fuchsia/runtime/dart/profiler_symbols/pubspec.yaml
+++ b/engine/src/flutter/shell/platform/fuchsia/runtime/dart/profiler_symbols/pubspec.yaml
@@ -4,7 +4,7 @@
 
 name: profiler_symbols
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 version: 0
 description: Extracts a minimal symbols table for the Dart VM profiler
 author: Dart Team <misc@dartlang.org>
diff --git a/engine/src/flutter/shell/vmservice/pubspec.yaml b/engine/src/flutter/shell/vmservice/pubspec.yaml
index d8061c2f61..c3cffd9d83 100644
--- a/engine/src/flutter/shell/vmservice/pubspec.yaml
+++ b/engine/src/flutter/shell/vmservice/pubspec.yaml
@@ -5,4 +5,4 @@
 name: vmservice_snapshot
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/sky/packages/sky_engine/pubspec.yaml b/engine/src/flutter/sky/packages/sky_engine/pubspec.yaml
index c613749d4b..08863df240 100644
--- a/engine/src/flutter/sky/packages/sky_engine/pubspec.yaml
+++ b/engine/src/flutter/sky/packages/sky_engine/pubspec.yaml
@@ -5,4 +5,4 @@ description: Dart SDK extensions for dart:ui
 homepage: http://flutter.io
 # sky_engine requires sdk_ext support in the analyzer which was added in 1.11.x
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
diff --git a/engine/src/flutter/testing/android_background_image/pubspec.yaml b/engine/src/flutter/testing/android_background_image/pubspec.yaml
index 82a37fd9f4..ff08f39de0 100644
--- a/engine/src/flutter/testing/android_background_image/pubspec.yaml
+++ b/engine/src/flutter/testing/android_background_image/pubspec.yaml
@@ -5,7 +5,7 @@
 name: android_background_image
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/dart/pkg, //third_party/dart/third_party/pkg, or
diff --git a/engine/src/flutter/testing/benchmark/pubspec.yaml b/engine/src/flutter/testing/benchmark/pubspec.yaml
index dc860ed38d..545d455b04 100644
--- a/engine/src/flutter/testing/benchmark/pubspec.yaml
+++ b/engine/src/flutter/testing/benchmark/pubspec.yaml
@@ -5,7 +5,7 @@
 name: flutter_engine_benchmark
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/testing/dart/pubspec.yaml b/engine/src/flutter/testing/dart/pubspec.yaml
index 2c2a9a3d6a..771026fff3 100644
--- a/engine/src/flutter/testing/dart/pubspec.yaml
+++ b/engine/src/flutter/testing/dart/pubspec.yaml
@@ -14,7 +14,7 @@ publish_to: none
 # relative to this directory into //third_party/dart
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   litetest: any
diff --git a/engine/src/flutter/testing/litetest/pubspec.yaml b/engine/src/flutter/testing/litetest/pubspec.yaml
index 392ce6411f..ee8f8fd4dd 100644
--- a/engine/src/flutter/testing/litetest/pubspec.yaml
+++ b/engine/src/flutter/testing/litetest/pubspec.yaml
@@ -14,7 +14,7 @@ publish_to: none
 # relative to this directory into //third_party/dart
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   async_helper: any
diff --git a/engine/src/flutter/testing/scenario_app/pubspec.yaml b/engine/src/flutter/testing/scenario_app/pubspec.yaml
index c90a33d7f3..c2b5d8425f 100644
--- a/engine/src/flutter/testing/scenario_app/pubspec.yaml
+++ b/engine/src/flutter/testing/scenario_app/pubspec.yaml
@@ -5,7 +5,7 @@
 name: scenario_app
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/dart/pkg, //third_party/dart/third_party/pkg, or
diff --git a/engine/src/flutter/testing/skia_gold_client/pubspec.yaml b/engine/src/flutter/testing/skia_gold_client/pubspec.yaml
index 9f39ae9b28..53add9bf30 100644
--- a/engine/src/flutter/testing/skia_gold_client/pubspec.yaml
+++ b/engine/src/flutter/testing/skia_gold_client/pubspec.yaml
@@ -5,7 +5,7 @@
 name: skia_gold_client
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/dart/pkg, //third_party/dart/third_party/pkg, or
diff --git a/engine/src/flutter/testing/smoke_test_failure/pubspec.yaml b/engine/src/flutter/testing/smoke_test_failure/pubspec.yaml
index df2f11055e..41670c0136 100644
--- a/engine/src/flutter/testing/smoke_test_failure/pubspec.yaml
+++ b/engine/src/flutter/testing/smoke_test_failure/pubspec.yaml
@@ -5,7 +5,7 @@
 name: smoke_test_failure
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/dart/pkg or //third_party/dart/third_party/pkg.
diff --git a/engine/src/flutter/testing/symbols/pubspec.yaml b/engine/src/flutter/testing/symbols/pubspec.yaml
index ab9d4b49a8..fb7d37a812 100644
--- a/engine/src/flutter/testing/symbols/pubspec.yaml
+++ b/engine/src/flutter/testing/symbols/pubspec.yaml
@@ -5,7 +5,7 @@
 name: verify_exported
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/third_party/web_locale_keymap/pubspec.yaml b/engine/src/flutter/third_party/web_locale_keymap/pubspec.yaml
index 2da80a46c5..646fbb3b96 100644
--- a/engine/src/flutter/third_party/web_locale_keymap/pubspec.yaml
+++ b/engine/src/flutter/third_party/web_locale_keymap/pubspec.yaml
@@ -3,7 +3,7 @@ name: web_locale_keymap
 publish_to: none
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dev_dependencies:
   test: ^1.21.7
diff --git a/engine/src/flutter/third_party/web_test_fonts/pubspec.yaml b/engine/src/flutter/third_party/web_test_fonts/pubspec.yaml
index 6c2af49caa..2042ad239c 100644
--- a/engine/src/flutter/third_party/web_test_fonts/pubspec.yaml
+++ b/engine/src/flutter/third_party/web_test_fonts/pubspec.yaml
@@ -3,7 +3,7 @@ name: web_test_fonts
 publish_to: none
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dev_dependencies:
   args: any
diff --git a/engine/src/flutter/third_party/web_unicode/pubspec.yaml b/engine/src/flutter/third_party/web_unicode/pubspec.yaml
index 99b6d98c56..fd57811f90 100644
--- a/engine/src/flutter/third_party/web_unicode/pubspec.yaml
+++ b/engine/src/flutter/third_party/web_unicode/pubspec.yaml
@@ -3,7 +3,7 @@ name: web_unicode
 publish_to: none
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dev_dependencies:
   args: any
diff --git a/engine/src/flutter/tools/android_lint/pubspec.yaml b/engine/src/flutter/tools/android_lint/pubspec.yaml
index 4c62944ea4..f60899e9ae 100644
--- a/engine/src/flutter/tools/android_lint/pubspec.yaml
+++ b/engine/src/flutter/tools/android_lint/pubspec.yaml
@@ -4,7 +4,7 @@
 
 name: android_lint
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party.pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/api_check/pubspec.yaml b/engine/src/flutter/tools/api_check/pubspec.yaml
index ae99d7afd5..1f33a38ad5 100644
--- a/engine/src/flutter/tools/api_check/pubspec.yaml
+++ b/engine/src/flutter/tools/api_check/pubspec.yaml
@@ -14,7 +14,7 @@ publish_to: none
 # relative to this directory into //third_party/dart
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/build_bucket_golden_scraper/pubspec.yaml b/engine/src/flutter/tools/build_bucket_golden_scraper/pubspec.yaml
index 9d38d8327d..f9855c0958 100644
--- a/engine/src/flutter/tools/build_bucket_golden_scraper/pubspec.yaml
+++ b/engine/src/flutter/tools/build_bucket_golden_scraper/pubspec.yaml
@@ -5,7 +5,7 @@
 name: build_bucket_golden_scraper
 publish_to: none
 environment:
-  sdk: ^3.0.0
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/clang_tidy/pubspec.yaml b/engine/src/flutter/tools/clang_tidy/pubspec.yaml
index 5e33c8c0db..e869ef5f41 100644
--- a/engine/src/flutter/tools/clang_tidy/pubspec.yaml
+++ b/engine/src/flutter/tools/clang_tidy/pubspec.yaml
@@ -5,7 +5,7 @@
 name: clang_tidy
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/const_finder/pubspec.yaml b/engine/src/flutter/tools/const_finder/pubspec.yaml
index b174754fff..c7d2b9f0f8 100644
--- a/engine/src/flutter/tools/const_finder/pubspec.yaml
+++ b/engine/src/flutter/tools/const_finder/pubspec.yaml
@@ -6,7 +6,7 @@ name: const_finder
 publish_to: none
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/dart/pkg or //third_party/dart/third_party/pkg.
diff --git a/engine/src/flutter/tools/gen_web_locale_keymap/pubspec.yaml b/engine/src/flutter/tools/gen_web_locale_keymap/pubspec.yaml
index 888b500292..5fee8ff44e 100644
--- a/engine/src/flutter/tools/gen_web_locale_keymap/pubspec.yaml
+++ b/engine/src/flutter/tools/gen_web_locale_keymap/pubspec.yaml
@@ -2,7 +2,7 @@ name: gen_web_keyboard_keymap
 description: Generates keyboard layouts for Web from external sources.
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   args: any
diff --git a/engine/src/flutter/tools/githooks/pubspec.yaml b/engine/src/flutter/tools/githooks/pubspec.yaml
index 6b5bb5c234..a0a6a9789b 100644
--- a/engine/src/flutter/tools/githooks/pubspec.yaml
+++ b/engine/src/flutter/tools/githooks/pubspec.yaml
@@ -5,7 +5,7 @@
 name: githooks
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party.pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/licenses/pubspec.yaml b/engine/src/flutter/tools/licenses/pubspec.yaml
index 85f69a2bad..67a905e9c0 100644
--- a/engine/src/flutter/tools/licenses/pubspec.yaml
+++ b/engine/src/flutter/tools/licenses/pubspec.yaml
@@ -5,7 +5,7 @@
 name: licenses
 publish_to: none
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided
 # in //third_party.pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/path_ops/dart/pubspec.yaml b/engine/src/flutter/tools/path_ops/dart/pubspec.yaml
index db4d16542f..d53bbbfe14 100644
--- a/engine/src/flutter/tools/path_ops/dart/pubspec.yaml
+++ b/engine/src/flutter/tools/path_ops/dart/pubspec.yaml
@@ -8,7 +8,7 @@ publish_to: none
 homepage: https://github.com/flutter/engine/tree/main/tools/path_ops
 
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dev_dependencies:
   litetest: any
diff --git a/engine/src/flutter/tools/pkg/engine_build_configs/pubspec.yaml b/engine/src/flutter/tools/pkg/engine_build_configs/pubspec.yaml
index b093547b0e..8aeeda6181 100644
--- a/engine/src/flutter/tools/pkg/engine_build_configs/pubspec.yaml
+++ b/engine/src/flutter/tools/pkg/engine_build_configs/pubspec.yaml
@@ -5,7 +5,7 @@
 name: engine_build_configs
 publish_to: none
 environment:
-  sdk: '>=3.1.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/tools/pkg/engine_repo_tools/pubspec.yaml b/engine/src/flutter/tools/pkg/engine_repo_tools/pubspec.yaml
index 455ee7cca5..08f4a18186 100644
--- a/engine/src/flutter/tools/pkg/engine_repo_tools/pubspec.yaml
+++ b/engine/src/flutter/tools/pkg/engine_repo_tools/pubspec.yaml
@@ -5,7 +5,7 @@
 name: engine_repo_tools
 publish_to: none
 environment:
-  sdk: ^3.0.0
+  sdk: '>=3.2.0-0 <4.0.0'
 
 # Do not add any dependencies that require more than what is provided in
 # //third_party/pkg, //third_party/dart/pkg, or
diff --git a/engine/src/flutter/web_sdk/pubspec.yaml b/engine/src/flutter/web_sdk/pubspec.yaml
index 9d65bb8693..e6932e6ea6 100644
--- a/engine/src/flutter/web_sdk/pubspec.yaml
+++ b/engine/src/flutter/web_sdk/pubspec.yaml
@@ -2,7 +2,7 @@ name: web_sdk_tests
 
 # Keep the SDK version range in sync with lib/web_ui/pubspec.yaml
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   args: 2.3.1
diff --git a/engine/src/flutter/web_sdk/web_engine_tester/pubspec.yaml b/engine/src/flutter/web_sdk/web_engine_tester/pubspec.yaml
index 06ab52b319..dbb9dccf4d 100644
--- a/engine/src/flutter/web_sdk/web_engine_tester/pubspec.yaml
+++ b/engine/src/flutter/web_sdk/web_engine_tester/pubspec.yaml
@@ -2,7 +2,7 @@ name: web_engine_tester
 
 # Keep the SDK version range in sync with lib/web_ui/pubspec.yaml
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   js: 0.6.4
diff --git a/engine/src/flutter/web_sdk/web_test_utils/pubspec.yaml b/engine/src/flutter/web_sdk/web_test_utils/pubspec.yaml
index 2879b821cc..ca7efd336e 100644
--- a/engine/src/flutter/web_sdk/web_test_utils/pubspec.yaml
+++ b/engine/src/flutter/web_sdk/web_test_utils/pubspec.yaml
@@ -2,7 +2,7 @@ name: web_test_utils
 
 # Keep the SDK version range in sync with lib/web_ui/pubspec.yaml
 environment:
-  sdk: '>=3.0.0-0 <4.0.0'
+  sdk: '>=3.2.0-0 <4.0.0'
 
 dependencies:
   collection: 1.17.0