diff --git a/packages/flutter/lib/src/widgets/heroes.dart b/packages/flutter/lib/src/widgets/heroes.dart
index 572beb195e..6a1e497a87 100644
--- a/packages/flutter/lib/src/widgets/heroes.dart
+++ b/packages/flutter/lib/src/widgets/heroes.dart
@@ -534,15 +534,7 @@ class _HeroFlight {
     );
   }
 
-  void _handleAnimationUpdate(AnimationStatus status) {
-    // The animation will not finish until the user lifts their finger, so we
-    // should ignore the status update if the gesture is in progress.
-    //
-    // This also relies on the animation to update its status at the end of the
-    // gesture. See the _CupertinoBackGestureController.dragEnd for how
-    // cupertino page route achieves that.
-    if (manifest!.fromRoute.navigator?.userGestureInProgress == true)
-      return;
+  void _performAnimationUpdate(AnimationStatus status) {
     if (status == AnimationStatus.completed || status == AnimationStatus.dismissed) {
       _proxyAnimation.parent = null;
 
@@ -560,6 +552,35 @@ class _HeroFlight {
     }
   }
 
+  bool _scheduledPerformAnimtationUpdate = false;
+  void _handleAnimationUpdate(AnimationStatus status) {
+    // The animation will not finish until the user lifts their finger, so we
+    // should suppress the status update if the gesture is in progress, and
+    // delay it until the finger is lifted.
+    if (manifest!.fromRoute.navigator?.userGestureInProgress != true) {
+      _performAnimationUpdate(status);
+      return;
+    }
+
+    if (_scheduledPerformAnimtationUpdate)
+      return;
+
+    // The `navigator` must be non-null here, or the first if clause above would
+    // have returned from this method.
+    final NavigatorState navigator = manifest!.fromRoute.navigator!;
+
+    void delayedPerformAnimtationUpdate() {
+      assert(!navigator.userGestureInProgress);
+      assert(_scheduledPerformAnimtationUpdate);
+      _scheduledPerformAnimtationUpdate = false;
+      navigator.userGestureInProgressNotifier.removeListener(delayedPerformAnimtationUpdate);
+      _performAnimationUpdate(_proxyAnimation.status);
+    }
+    assert(navigator.userGestureInProgress);
+    _scheduledPerformAnimtationUpdate = true;
+    navigator.userGestureInProgressNotifier.addListener(delayedPerformAnimtationUpdate);
+  }
+
   // The simple case: we're either starting a push or a pop animation.
   void start(_HeroFlightManifest initialManifest) {
     assert(!_aborted);
diff --git a/packages/flutter/lib/src/widgets/navigator.dart b/packages/flutter/lib/src/widgets/navigator.dart
index 6884e8908b..5481641d12 100644
--- a/packages/flutter/lib/src/widgets/navigator.dart
+++ b/packages/flutter/lib/src/widgets/navigator.dart
@@ -3041,8 +3041,36 @@ class _RouteEntry extends RouteTransitionRecord {
 
   void dispose() {
     assert(currentState.index < _RouteLifecycle.disposed.index);
-    route.dispose();
     currentState = _RouteLifecycle.disposed;
+
+    // If the overlay entries are still mounted, widgets in the route's subtree
+    // may still reference resources from the route and we delay disposal of
+    // the route until the overlay entries are no longer mounted.
+    // Since the overlay entry is the root of the route's subtree it will only
+    // get unmounted after every other widget in the subtree has been unmounted.
+
+    final Iterable<OverlayEntry> mountedEntries = route.overlayEntries.where((OverlayEntry e) => e.mounted);
+
+    if (mountedEntries.isEmpty) {
+      route.dispose();
+    } else {
+      int mounted = mountedEntries.length;
+      assert(mounted > 0);
+      for (final OverlayEntry entry in mountedEntries) {
+        late VoidCallback listener;
+        listener = () {
+          assert(mounted > 0);
+          assert(!entry.mounted);
+          mounted--;
+          entry.removeListener(listener);
+          if (mounted == 0) {
+            assert(route.overlayEntries.every((OverlayEntry e) => !e.mounted));
+            route.dispose();
+          }
+        };
+        entry.addListener(listener);
+      }
+    }
   }
 
   bool get willBePresent {
diff --git a/packages/flutter/lib/src/widgets/overlay.dart b/packages/flutter/lib/src/widgets/overlay.dart
index 444f76cfc0..ac95784fb2 100644
--- a/packages/flutter/lib/src/widgets/overlay.dart
+++ b/packages/flutter/lib/src/widgets/overlay.dart
@@ -45,13 +45,17 @@ import 'ticker_provider.dart';
 /// if widgets in an overlay entry with [maintainState] set to true repeatedly
 /// call [State.setState], the user's battery will be drained unnecessarily.
 ///
+/// [OverlayEntry] is a [ChangeNotifier] that notifies when the widget built by
+/// [builder] is mounted or unmounted, whose exact state can be queried by
+/// [mounted].
+///
 /// See also:
 ///
 ///  * [Overlay]
 ///  * [OverlayState]
 ///  * [WidgetsApp]
 ///  * [MaterialApp]
-class OverlayEntry {
+class OverlayEntry extends ChangeNotifier {
   /// Creates an overlay entry.
   ///
   /// To insert the entry into an [Overlay], first find the overlay using
@@ -113,6 +117,19 @@ class OverlayEntry {
     _overlay!._didChangeEntryOpacity();
   }
 
+  /// Whether the [OverlayEntry] is currently mounted in the widget tree.
+  ///
+  /// The [OverlayEntry] notifies its listeners when this value changes.
+  bool get mounted => _mounted;
+  bool _mounted = false;
+  void _updateMounted(bool value) {
+    if (value == _mounted) {
+      return;
+    }
+    _mounted = value;
+    notifyListeners();
+  }
+
   OverlayState? _overlay;
   final GlobalKey<_OverlayEntryWidgetState> _key = GlobalKey<_OverlayEntryWidgetState>();
 
@@ -172,6 +189,18 @@ class _OverlayEntryWidget extends StatefulWidget {
 }
 
 class _OverlayEntryWidgetState extends State<_OverlayEntryWidget> {
+  @override
+  void initState() {
+    super.initState();
+    widget.entry._updateMounted(true);
+  }
+
+  @override
+  void dispose() {
+    widget.entry._updateMounted(false);
+    super.dispose();
+  }
+
   @override
   Widget build(BuildContext context) {
     return TickerMode(
diff --git a/packages/flutter/lib/src/widgets/routes.dart b/packages/flutter/lib/src/widgets/routes.dart
index cf136f80c9..d3874a4f17 100644
--- a/packages/flutter/lib/src/widgets/routes.dart
+++ b/packages/flutter/lib/src/widgets/routes.dart
@@ -189,7 +189,6 @@ abstract class TransitionRoute<T> extends OverlayRoute<T> {
         // removing the route and disposing it.
         if (!isActive) {
           navigator!.finalizeRoute(this);
-          assert(overlayEntries.isEmpty);
         }
         break;
     }
diff --git a/packages/flutter/test/cupertino/route_test.dart b/packages/flutter/test/cupertino/route_test.dart
index 0a9a8bd1cc..682f078b06 100644
--- a/packages/flutter/test/cupertino/route_test.dart
+++ b/packages/flutter/test/cupertino/route_test.dart
@@ -1632,6 +1632,57 @@ void main() {
     expect(find.byType(CupertinoButton), findsOneWidget);
     expect(find.text('PointerCancelEvents: 1'), findsOneWidget);
   });
+
+  testWidgets('Popping routes during back swipe should not crash', (WidgetTester tester) async {
+    // Regression test for https://github.com/flutter/flutter/issues/63984#issuecomment-675679939
+
+    final CupertinoPageRoute<void> r = CupertinoPageRoute<void>(builder: (BuildContext context) {
+      return const Scaffold(
+        body: Center(
+          child: Text('child'),
+        ),
+      );
+    });
+
+    late NavigatorState navigator;
+
+    await tester.pumpWidget(CupertinoApp(
+      home: Center(
+        child: Builder(builder: (BuildContext context) {
+          return RaisedButton(
+            child: const Text('Home'),
+            onPressed: () {
+              navigator = Navigator.of(context)!;
+              assert(navigator != null);
+              navigator.push<void>(r);
+            },
+          );
+        }),
+      ),
+    ));
+
+    final TestGesture gesture = await tester.createGesture();
+    await gesture.down(tester.getCenter(find.byType(RaisedButton)));
+    await gesture.up();
+
+    await tester.pumpAndSettle();
+
+    await gesture.down(const Offset(3, 300), timeStamp: Duration.zero);
+
+    // Need 2 events to form a valid drag
+    await tester.pump(const Duration(milliseconds: 100));
+    await gesture.moveTo(const Offset(30, 300), timeStamp: const Duration(milliseconds: 100));
+    await tester.pump(const Duration(milliseconds: 200));
+    await gesture.moveTo(const Offset(50, 300), timeStamp: const Duration(milliseconds: 200));
+
+    // Pause a while so that the route is popped when the drag is canceled
+    await tester.pump(const Duration(milliseconds: 1000));
+    await gesture.moveTo(const Offset(51, 300), timeStamp: const Duration(milliseconds: 1200));
+
+    // Remove the drag
+    navigator.removeRoute(r);
+    await tester.pump();
+  });
 }
 
 class MockNavigatorObserver extends NavigatorObserver {
diff --git a/packages/flutter/test/widgets/routes_test.dart b/packages/flutter/test/widgets/routes_test.dart
index b5fdfb8df3..58a26492f3 100644
--- a/packages/flutter/test/widgets/routes_test.dart
+++ b/packages/flutter/test/widgets/routes_test.dart
@@ -101,13 +101,16 @@ Future<void> runNavigatorTest(
   WidgetTester tester,
   NavigatorState host,
   VoidCallback test,
-  List<String> expectations,
-) async {
+  List<String> expectations, [
+  List<String> expectationsAfterAnotherPump = const <String>[],
+]) async {
   expect(host, isNotNull);
   test();
   expect(results, equals(expectations));
   results.clear();
   await tester.pump();
+  expect(results, equals(expectationsAfterAnotherPump));
+  results.clear();
 }
 
 void main() {
@@ -199,6 +202,8 @@ void main() {
       <String>[ // stack is: initial, two
         'third: didPop hello',
         'two: didPopNext third',
+      ],
+      <String>[
         'third: dispose',
       ],
     );
@@ -209,6 +214,8 @@ void main() {
       <String>[ // stack is: initial
         'two: didPop good bye',
         'initial: didPopNext two',
+      ],
+      <String>[
         'two: dispose',
       ],
     );
@@ -278,6 +285,8 @@ void main() {
       <String>[
         'third: didPop good bye',
         'second: didPopNext third',
+      ],
+      <String>[
         'third: dispose',
       ],
     );
@@ -320,6 +329,8 @@ void main() {
       <String>[
         'four: didPop the end',
         'second: didPopNext four',
+      ],
+      <String>[
         'four: dispose',
       ],
     );
@@ -395,6 +406,8 @@ void main() {
       <String>[
         'C: didPop null',
         'b: didPopNext C',
+      ],
+      <String>[
         'C: dispose',
       ],
     );