diff --git a/packages/flutter/lib/src/material/refresh_indicator.dart b/packages/flutter/lib/src/material/refresh_indicator.dart
index 0bb5ec7f31..906fd024be 100644
--- a/packages/flutter/lib/src/material/refresh_indicator.dart
+++ b/packages/flutter/lib/src/material/refresh_indicator.dart
@@ -383,12 +383,12 @@ class RefreshIndicatorState extends State<RefreshIndicator> with TickerProviderS
     return false;
   }
 
-  bool _handleGlowNotification(OverscrollIndicatorNotification notification) {
+  bool _handleIndicatorNotification(OverscrollIndicatorNotification notification) {
     if (notification.depth != 0 || !notification.leading) {
       return false;
     }
     if (_mode == _RefreshIndicatorMode.drag) {
-      notification.disallowGlow();
+      notification.disallowIndicator();
       return true;
     }
     return false;
@@ -535,7 +535,7 @@ class RefreshIndicatorState extends State<RefreshIndicator> with TickerProviderS
     final Widget child = NotificationListener<ScrollNotification>(
       onNotification: _handleScrollNotification,
       child: NotificationListener<OverscrollIndicatorNotification>(
-        onNotification: _handleGlowNotification,
+        onNotification: _handleIndicatorNotification,
         child: widget.child,
       ),
     );
diff --git a/packages/flutter/lib/src/widgets/overscroll_indicator.dart b/packages/flutter/lib/src/widgets/overscroll_indicator.dart
index 1c1297c513..124b0910c6 100644
--- a/packages/flutter/lib/src/widgets/overscroll_indicator.dart
+++ b/packages/flutter/lib/src/widgets/overscroll_indicator.dart
@@ -234,7 +234,7 @@ class _GlowingOverscrollIndicatorState extends State<GlowingOverscrollIndicator>
       if (_lastNotificationType is! OverscrollNotification) {
         final OverscrollIndicatorNotification confirmationNotification = OverscrollIndicatorNotification(leading: isLeading);
         confirmationNotification.dispatch(context);
-        _accepted[isLeading] = confirmationNotification._accepted;
+        _accepted[isLeading] = confirmationNotification.accepted;
         if (_accepted[isLeading]!) {
           controller!._paintOffset = confirmationNotification.paintOffset;
         }
@@ -714,7 +714,7 @@ class _StretchingOverscrollIndicatorState extends State<StretchingOverscrollIndi
       if (_lastNotification.runtimeType is! OverscrollNotification) {
         final OverscrollIndicatorNotification confirmationNotification = OverscrollIndicatorNotification(leading: notification.overscroll < 0.0);
         confirmationNotification.dispatch(context);
-        _accepted = confirmationNotification._accepted;
+        _accepted = confirmationNotification.accepted;
       }
 
       assert(notification.metrics.axis == widget.axis);
@@ -978,7 +978,16 @@ class OverscrollIndicatorNotification extends Notification with ViewportNotifica
   /// This has no effect on a [StretchingOverscrollIndicator].
   double paintOffset = 0.0;
 
-  bool _accepted = true;
+  @protected
+  @visibleForTesting
+  /// Whether the current overscroll event will allow for the indicator to be
+  /// shown.
+  ///
+  /// Calling [disallowIndicator] sets this to false, preventing the over scroll
+  /// indicator from showing.
+  ///
+  /// Defaults to true, cannot be null.
+  bool accepted = true;
 
   /// Call this method if the glow should be prevented. This method is
   /// deprecated in favor of [disallowIndicator].
@@ -987,12 +996,12 @@ class OverscrollIndicatorNotification extends Notification with ViewportNotifica
     'This feature was deprecated after v2.5.0-6.0.pre.',
   )
   void disallowGlow() {
-    _accepted = false;
+    accepted = false;
   }
 
   /// Call this method if the overscroll indicator should be prevented.
   void disallowIndicator() {
-    _accepted = false;
+    accepted = false;
   }
 
   @override
diff --git a/packages/flutter/test/material/refresh_indicator_test.dart b/packages/flutter/test/material/refresh_indicator_test.dart
index 4c57ce8149..47a206f3d7 100644
--- a/packages/flutter/test/material/refresh_indicator_test.dart
+++ b/packages/flutter/test/material/refresh_indicator_test.dart
@@ -902,4 +902,107 @@ void main() {
     await tester.pump(const Duration(seconds: 1)); // finish the indicator hide animation
     expect(refreshCalled, true);
   });
+
+  testWidgets('RefreshIndicator disallows indicator - glow', (WidgetTester tester) async {
+    refreshCalled = false;
+    bool glowAccepted = true;
+    ScrollNotification? lastNotification;
+
+    await tester.pumpWidget(
+      MaterialApp(
+        home: RefreshIndicator(
+          onRefresh: refresh,
+          child: Builder(
+            builder: (BuildContext context) {
+              return NotificationListener<ScrollNotification>(
+                onNotification: (ScrollNotification notification) {
+                  if (notification is OverscrollNotification
+                      && lastNotification is! OverscrollNotification) {
+                    final OverscrollIndicatorNotification confirmationNotification = OverscrollIndicatorNotification(leading: true);
+                    confirmationNotification.dispatch(context);
+                    glowAccepted = confirmationNotification.accepted;
+                  }
+                  lastNotification = notification;
+                  return false;
+                },
+                child: ListView(
+                  physics: const AlwaysScrollableScrollPhysics(),
+                  children: <String>['A', 'B', 'C', 'D', 'E', 'F'].map<Widget>((String item) {
+                    return SizedBox(
+                      height: 200.0,
+                      child: Text(item),
+                    );
+                  }).toList(),
+                ),
+              );
+            }
+          ),
+        ),
+      ),
+    );
+
+    expect(find.byType(StretchingOverscrollIndicator), findsNothing);
+    expect(find.byType(GlowingOverscrollIndicator), findsOneWidget);
+
+    await tester.fling(find.text('A'), const Offset(0.0, 300.0), 1000.0);
+    await tester.pump();
+
+    await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator hide animation
+    expect(refreshCalled, true);
+    expect(glowAccepted, false);
+  });
+
+  testWidgets('RefreshIndicator disallows indicator - stretch', (WidgetTester tester) async {
+    refreshCalled = false;
+    bool stretchAccepted = true;
+    ScrollNotification? lastNotification;
+
+    await tester.pumpWidget(
+      MaterialApp(
+        theme: ThemeData.light().copyWith(useMaterial3: true),
+        home: RefreshIndicator(
+          onRefresh: refresh,
+          child: Builder(
+              builder: (BuildContext context) {
+                return NotificationListener<ScrollNotification>(
+                  onNotification: (ScrollNotification notification) {
+                    if (notification is OverscrollNotification
+                        && lastNotification is! OverscrollNotification) {
+                      final OverscrollIndicatorNotification confirmationNotification = OverscrollIndicatorNotification(leading: true);
+                      confirmationNotification.dispatch(context);
+                      stretchAccepted = confirmationNotification.accepted;
+                    }
+                    lastNotification = notification;
+                    return false;
+                  },
+                  child: ListView(
+                    physics: const AlwaysScrollableScrollPhysics(),
+                    children: <String>['A', 'B', 'C', 'D', 'E', 'F'].map<Widget>((String item) {
+                      return SizedBox(
+                        height: 200.0,
+                        child: Text(item),
+                      );
+                    }).toList(),
+                  ),
+                );
+              }
+          ),
+        ),
+      ),
+    );
+
+    expect(find.byType(StretchingOverscrollIndicator), findsOneWidget);
+    expect(find.byType(GlowingOverscrollIndicator), findsNothing);
+
+    await tester.fling(find.text('A'), const Offset(0.0, 300.0), 1000.0);
+    await tester.pump();
+
+    await tester.pump(const Duration(seconds: 1)); // finish the scroll animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator settle animation
+    await tester.pump(const Duration(seconds: 1)); // finish the indicator hide animation
+    expect(refreshCalled, true);
+    expect(stretchAccepted, false);
+  });
 }