diff --git a/packages/flutter/lib/src/material/tabs.dart b/packages/flutter/lib/src/material/tabs.dart
index d89d440821..ceb07f705a 100644
--- a/packages/flutter/lib/src/material/tabs.dart
+++ b/packages/flutter/lib/src/material/tabs.dart
@@ -1150,10 +1150,7 @@ class _TabBarViewState extends State<TabBarView> {
       }
       _controller.offset = (_pageController.page - _controller.index).clamp(-1.0, 1.0);
     } else if (notification is ScrollEndNotification) {
-      final ScrollPosition position = _pageController.position;
-      final double pageTolerance = position.physics.tolerance.distance
-          / (position.viewportDimension * _pageController.viewportFraction);
-      _controller.index = (_pageController.page + pageTolerance).floor();
+      _controller.index = _pageController.page.round();
       _currentIndex = _controller.index;
     }
     _warpUnderwayCount -= 1;
diff --git a/packages/flutter/test/material/tabs_test.dart b/packages/flutter/test/material/tabs_test.dart
index 0960c66451..c56a9ef694 100644
--- a/packages/flutter/test/material/tabs_test.dart
+++ b/packages/flutter/test/material/tabs_test.dart
@@ -804,7 +804,7 @@ void main() {
     await tester.pump(const Duration(milliseconds: 300));
   });
 
-  testWidgets('TabBarView scrolls end very VERY close to a new page', (WidgetTester tester) async {
+  testWidgets('TabBarView scrolls end close to a new page', (WidgetTester tester) async {
     // This is a regression test for https://github.com/flutter/flutter/issues/9375
 
     final TabController tabController = new TabController(
@@ -845,15 +845,23 @@ void main() {
     expect(position.pixels, 400.0);
 
     // Not close enough to switch to page 2
-    pageController.jumpTo(800.0 - 1.25 * position.physics.tolerance.distance);
+    pageController.jumpTo(500.0);
     expect(tabController.index, 1);
 
     // Close enough to switch to page 2
-    pageController.jumpTo(800.0 - 0.75 * position.physics.tolerance.distance);
+    pageController.jumpTo(700.0);
     expect(tabController.index, 2);
+
+    // Same behavior going left: not left enough to get to page 0
+    pageController.jumpTo(300.0);
+    expect(tabController.index, 1);
+
+    // Left enough to get to page 0
+    pageController.jumpTo(100.0);
+    expect(tabController.index, 0);
   });
 
-  testWidgets('TabBarView scrolls end very close to a new page with custom physics', (WidgetTester tester) async {
+  testWidgets('TabBarView scrolls end close to a new page with custom physics', (WidgetTester tester) async {
     final TabController tabController = new TabController(
       vsync: const TestVSync(),
       initialIndex: 1,
@@ -893,12 +901,20 @@ void main() {
     expect(position.pixels, 400.0);
 
     // Not close enough to switch to page 2
-    pageController.jumpTo(800.0 - 1.25 * position.physics.tolerance.distance);
+    pageController.jumpTo(500.0);
     expect(tabController.index, 1);
 
     // Close enough to switch to page 2
-    pageController.jumpTo(800.0 - 0.75 * position.physics.tolerance.distance);
+    pageController.jumpTo(700.0);
     expect(tabController.index, 2);
+
+    // Same behavior going left: not left enough to get to page 0
+    pageController.jumpTo(300.0);
+    expect(tabController.index, 1);
+
+    // Left enough to get to page 0
+    pageController.jumpTo(100.0);
+    expect(tabController.index, 0);
   });
 
   testWidgets('Scrollable TabBar with a non-zero TabController initialIndex', (WidgetTester tester) async {