diff --git a/packages/flutter/lib/fix_data/fix_cupertino.yaml b/packages/flutter/lib/fix_data/fix_cupertino.yaml
index ff380c1286..f1d8ba878d 100644
--- a/packages/flutter/lib/fix_data/fix_cupertino.yaml
+++ b/packages/flutter/lib/fix_data/fix_cupertino.yaml
@@ -404,4 +404,28 @@ transforms:
       fillColor:
         kind: fragment
         value: 'arguments[fillColor]'
+
+  # Changes made in https://github.com/flutter/flutter/pull/161295
+  - title: "Migrate 'minSize' to 'minimumSize'"
+    date: 2025-01-09
+    element:
+      uris: [ 'cupertino.dart' ]
+      constructor: ''
+      inClass: 'CupertinoButton'
+    oneOf:
+      - if: "minSize != ''"
+        changes:
+          - kind: 'addParameter'
+            index: 7
+            name: 'minimumSize'
+            style: optional_named
+            argumentValue:
+              expression: 'Size({% minSize %}, {% minSize %})'
+              requiredIf: "minSize != ''"
+          - kind: 'removeParameter'
+            name: 'minSize'
+    variables:
+      minSize:
+        kind: fragment
+        value: 'arguments[minSize]'
 # Before adding a new fix: read instructions at the top of this file.
\ No newline at end of file
diff --git a/packages/flutter/lib/src/cupertino/button.dart b/packages/flutter/lib/src/cupertino/button.dart
index 19bd455dd5..4e929daab5 100644
--- a/packages/flutter/lib/src/cupertino/button.dart
+++ b/packages/flutter/lib/src/cupertino/button.dart
@@ -76,7 +76,12 @@ class CupertinoButton extends StatefulWidget {
     this.padding,
     this.color,
     this.disabledColor = CupertinoColors.quaternarySystemFill,
+    @Deprecated(
+      'Use minimumSize instead. '
+      'This feature was deprecated after v3.28.0-3.0.pre.',
+    )
     this.minSize,
+    this.minimumSize,
     this.pressedOpacity = 0.4,
     this.borderRadius,
     this.alignment = Alignment.center,
@@ -87,6 +92,7 @@ class CupertinoButton extends StatefulWidget {
     this.onLongPress,
     required this.onPressed,
   }) : assert(pressedOpacity == null || (pressedOpacity >= 0.0 && pressedOpacity <= 1.0)),
+       assert(minimumSize == null || minSize == null),
        _style = _CupertinoButtonStyle.plain;
 
   /// Creates an iOS-style button with a tinted background.
@@ -105,7 +111,12 @@ class CupertinoButton extends StatefulWidget {
     this.padding,
     this.color,
     this.disabledColor = CupertinoColors.tertiarySystemFill,
+    @Deprecated(
+      'Use minimumSize instead. '
+      'This feature was deprecated after v3.28.0-3.0.pre.',
+    )
     this.minSize,
+    this.minimumSize,
     this.pressedOpacity = 0.4,
     this.borderRadius,
     this.alignment = Alignment.center,
@@ -115,7 +126,8 @@ class CupertinoButton extends StatefulWidget {
     this.autofocus = false,
     this.onLongPress,
     required this.onPressed,
-  }) : _style = _CupertinoButtonStyle.tinted;
+  }) : assert(minimumSize == null || minSize == null),
+       _style = _CupertinoButtonStyle.tinted;
 
   /// Creates an iOS-style button with a filled background.
   ///
@@ -129,7 +141,12 @@ class CupertinoButton extends StatefulWidget {
     this.sizeStyle = CupertinoButtonSize.large,
     this.padding,
     this.disabledColor = CupertinoColors.tertiarySystemFill,
+    @Deprecated(
+      'Use minimumSize instead. '
+      'This feature was deprecated after v3.28.0-3.0.pre.',
+    )
     this.minSize,
+    this.minimumSize,
     this.pressedOpacity = 0.4,
     this.borderRadius,
     this.alignment = Alignment.center,
@@ -140,6 +157,7 @@ class CupertinoButton extends StatefulWidget {
     this.onLongPress,
     required this.onPressed,
   }) : assert(pressedOpacity == null || (pressedOpacity >= 0.0 && pressedOpacity <= 1.0)),
+       assert(minimumSize == null || minSize == null),
        color = null,
        _style = _CupertinoButtonStyle.filled;
 
@@ -181,8 +199,19 @@ class CupertinoButton extends StatefulWidget {
   ///
   /// Defaults to kMinInteractiveDimensionCupertino which the iOS Human
   /// Interface Guidelines recommends as the minimum tappable area.
+  @Deprecated(
+    'Use minimumSize instead. '
+    'This feature was deprecated after v3.28.0-3.0.pre.',
+  )
   final double? minSize;
 
+  /// The minimum size of the button.
+  ///
+  /// Defaults to a button with a height and a width of
+  /// [kMinInteractiveDimensionCupertino], which the iOS Human
+  /// Interface Guidelines recommends as the minimum tappable area.
+  final Size? minimumSize;
+
   /// The opacity that the button will fade to when it is pressed.
   /// The button will have an opacity of 1.0 when it is not pressed.
   ///
@@ -355,6 +384,12 @@ class _CupertinoButtonState extends State<CupertinoButton> with SingleTickerProv
   @override
   Widget build(BuildContext context) {
     final bool enabled = widget.enabled;
+    final Size? minimumSize =
+        widget.minimumSize == null
+            ? widget.minSize == null
+                ? null
+                : Size(widget.minSize!, widget.minSize!)
+            : widget.minimumSize!;
     final CupertinoThemeData themeData = CupertinoTheme.of(context);
     final Color primaryColor = themeData.primaryColor;
     final Color? backgroundColor = (widget.color == null
@@ -418,11 +453,11 @@ class _CupertinoButtonState extends State<CupertinoButton> with SingleTickerProv
             child: ConstrainedBox(
               constraints: BoxConstraints(
                 minWidth:
-                    widget.minSize ??
+                    minimumSize?.width ??
                     kCupertinoButtonMinSize[widget.sizeStyle] ??
                     kMinInteractiveDimensionCupertino,
                 minHeight:
-                    widget.minSize ??
+                    minimumSize?.height ??
                     kCupertinoButtonMinSize[widget.sizeStyle] ??
                     kMinInteractiveDimensionCupertino,
               ),
diff --git a/packages/flutter/test/cupertino/button_test.dart b/packages/flutter/test/cupertino/button_test.dart
index 384cb37d34..c08d800377 100644
--- a/packages/flutter/test/cupertino/button_test.dart
+++ b/packages/flutter/test/cupertino/button_test.dart
@@ -48,6 +48,17 @@ void main() {
     );
   });
 
+  testWidgets('Minimum size minimumSize parameter', (WidgetTester tester) async {
+    const Size size = Size(60.0, 100.0);
+    await tester.pumpWidget(
+      boilerplate(
+        child: const CupertinoButton(onPressed: null, minimumSize: size, child: SizedBox.shrink()),
+      ),
+    );
+    final RenderBox buttonBox = tester.renderObject(find.byType(CupertinoButton));
+    expect(buttonBox.size, size);
+  });
+
   testWidgets('Size grows with text', (WidgetTester tester) async {
     await tester.pumpWidget(
       boilerplate(
diff --git a/packages/flutter/test_fixes/cupertino/cupertino.dart b/packages/flutter/test_fixes/cupertino/cupertino.dart
index 0af9e34817..dffefec18f 100644
--- a/packages/flutter/test_fixes/cupertino/cupertino.dart
+++ b/packages/flutter/test_fixes/cupertino/cupertino.dart
@@ -286,4 +286,7 @@ void main() {
     inactiveColor: Colors.red,
     fillColor: WidgetStatePropertyAll(CupertinoColors.white),
   );
+
+  // https://github.com/flutter/flutter/pull/161295
+  CupertinoButton(minSize: 60.0);
 }
diff --git a/packages/flutter/test_fixes/cupertino/cupertino.dart.expect b/packages/flutter/test_fixes/cupertino/cupertino.dart.expect
index 41876a0177..bd25a93304 100644
--- a/packages/flutter/test_fixes/cupertino/cupertino.dart.expect
+++ b/packages/flutter/test_fixes/cupertino/cupertino.dart.expect
@@ -304,4 +304,7 @@ void main() {
   CupertinoCheckbox(
     fillColor: WidgetStatePropertyAll(CupertinoColors.white),
   );
+
+  // https://github.com/flutter/flutter/pull/161295
+  CupertinoButton(minimumSize: Size(60.0, 60.0));
 }