diff --git a/packages/flutter/lib/src/material/tabs.dart b/packages/flutter/lib/src/material/tabs.dart
index 2b001a91f29..6cb60b37791 100644
--- a/packages/flutter/lib/src/material/tabs.dart
+++ b/packages/flutter/lib/src/material/tabs.dart
@@ -2219,7 +2219,7 @@ class TabPageSelectorIndicator extends StatelessWidget {
 ///
 /// If a [TabController] is not provided, then there must be a
 /// [DefaultTabController] ancestor.
-class TabPageSelector extends StatefulWidget {
+class TabPageSelector extends StatelessWidget {
   /// Creates a compact widget that indicates which tab has been selected.
   const TabPageSelector({
     super.key,
@@ -2256,73 +2256,6 @@ class TabPageSelector extends StatefulWidget {
   /// Defaults to [BorderStyle.solid] if value is not specified.
   final BorderStyle? borderStyle;
 
-  @override
-  State<TabPageSelector> createState() => _TabPageSelectorState();
-}
-
-class _TabPageSelectorState extends State<TabPageSelector> {
-  TabController? _previousTabController;
-  TabController get _tabController {
-    final TabController? tabController = widget.controller ?? DefaultTabController.maybeOf(context);
-    assert(() {
-      if (tabController == null) {
-        throw FlutterError(
-          'No TabController for $runtimeType.\n'
-          'When creating a $runtimeType, you must either provide an explicit TabController '
-          'using the "controller" property, or you must ensure that there is a '
-          'DefaultTabController above the $runtimeType.\n'
-          'In this case, there was neither an explicit controller nor a default controller.',
-        );
-      }
-      return true;
-    }());
-    return tabController!;
-  }
-
-  CurvedAnimation? _animation;
-
-  @override
-  void initState() {
-    super.initState();
-    _setAnimation();
-  }
-
-  @override
-  void didUpdateWidget (TabPageSelector oldWidget) {
-    super.didUpdateWidget(oldWidget);
-    if (_previousTabController?.animation != _tabController.animation) {
-      _setAnimation();
-    }
-    if (_previousTabController != _tabController) {
-      _previousTabController = _tabController;
-    }
-  }
-
-  @override
-  void didChangeDependencies() {
-    super.didChangeDependencies();
-    if (_previousTabController?.animation != _tabController.animation) {
-      _setAnimation();
-    }
-    if (_previousTabController != _tabController) {
-      _previousTabController = _tabController;
-    }
-  }
-
-  void _setAnimation() {
-    _animation?.dispose();
-    _animation = CurvedAnimation(
-      parent: _tabController.animation!,
-      curve: Curves.fastOutSlowIn,
-    );
-  }
-
-  @override
-  void dispose() {
-    _animation?.dispose();
-    super.dispose();
-  }
-
   Widget _buildTabIndicator(
     int tabIndex,
     TabController tabController,
@@ -2357,27 +2290,44 @@ class _TabPageSelectorState extends State<TabPageSelector> {
     return TabPageSelectorIndicator(
       backgroundColor: background,
       borderColor: selectedColorTween.end!,
-      size: widget.indicatorSize,
-      borderStyle: widget.borderStyle ?? BorderStyle.solid,
+      size: indicatorSize,
+      borderStyle: borderStyle ?? BorderStyle.solid,
     );
   }
 
   @override
   Widget build(BuildContext context) {
-    final Color fixColor = widget.color ?? Colors.transparent;
-    final Color fixSelectedColor = widget.selectedColor ?? Theme.of(context).colorScheme.secondary;
+    final Color fixColor = color ?? Colors.transparent;
+    final Color fixSelectedColor = selectedColor ?? Theme.of(context).colorScheme.secondary;
     final ColorTween selectedColorTween = ColorTween(begin: fixColor, end: fixSelectedColor);
     final ColorTween previousColorTween = ColorTween(begin: fixSelectedColor, end: fixColor);
+    final TabController? tabController = controller ?? DefaultTabController.maybeOf(context);
 	  final MaterialLocalizations localizations = MaterialLocalizations.of(context);
+    assert(() {
+      if (tabController == null) {
+        throw FlutterError(
+          'No TabController for $runtimeType.\n'
+          'When creating a $runtimeType, you must either provide an explicit TabController '
+          'using the "controller" property, or you must ensure that there is a '
+          'DefaultTabController above the $runtimeType.\n'
+          'In this case, there was neither an explicit controller nor a default controller.',
+        );
+      }
+      return true;
+    }());
+    final Animation<double> animation = CurvedAnimation(
+      parent: tabController!.animation!,
+      curve: Curves.fastOutSlowIn,
+    );
     return AnimatedBuilder(
-      animation: _animation!,
+      animation: animation,
       builder: (BuildContext context, Widget? child) {
         return Semantics(
-          label: localizations.tabLabel(tabIndex: _tabController.index + 1, tabCount: _tabController.length),
+          label: localizations.tabLabel(tabIndex: tabController.index + 1, tabCount: tabController.length),
           child: Row(
             mainAxisSize: MainAxisSize.min,
-            children: List<Widget>.generate(_tabController.length, (int tabIndex) {
-              return _buildTabIndicator(tabIndex, _tabController, selectedColorTween, previousColorTween);
+            children: List<Widget>.generate(tabController.length, (int tabIndex) {
+              return _buildTabIndicator(tabIndex, tabController, selectedColorTween, previousColorTween);
             }).toList(),
           ),
         );
diff --git a/packages/flutter/test/material/page_selector_test.dart b/packages/flutter/test/material/page_selector_test.dart
index 9e8721d3926..8e988eda443 100644
--- a/packages/flutter/test/material/page_selector_test.dart
+++ b/packages/flutter/test/material/page_selector_test.dart
@@ -4,7 +4,6 @@
 
 import 'package:flutter/material.dart';
 import 'package:flutter_test/flutter_test.dart';
-import 'package:leak_tracker_flutter_testing/leak_tracker_flutter_testing.dart';
 
 const Color kSelectedColor = Color(0xFF00FF00);
 const Color kUnselectedColor = Colors.transparent;
@@ -87,10 +86,7 @@ void main() {
     expect(indicatorColors(tester), const <Color>[kUnselectedColor, kUnselectedColor, kSelectedColor]);
   });
 
-  testWidgets('PageSelector responds correctly to TabController.animateTo()',
-    // TODO(polina-c): remove when fixed https://github.com/flutter/flutter/issues/145600 [leak-tracking-opt-in]
-    experimentalLeakTesting: LeakTesting.settings.withTracked(classes: const <String>['CurvedAnimation']),
-  (WidgetTester tester) async {
+  testWidgets('PageSelector responds correctly to TabController.animateTo()', (WidgetTester tester) async {
     final TabController tabController = TabController(
       vsync: const TestVSync(),
       length: 3,