diff --git a/packages/flutter/lib/src/widgets/transitions.dart b/packages/flutter/lib/src/widgets/transitions.dart
index 24d90161c93..76ef816cc93 100644
--- a/packages/flutter/lib/src/widgets/transitions.dart
+++ b/packages/flutter/lib/src/widgets/transitions.dart
@@ -441,8 +441,10 @@ class SizeTransition extends AnimatedWidget {
     this.axis = Axis.vertical,
     required Animation<double> sizeFactor,
     this.axisAlignment = 0.0,
+    this.fixedCrossAxisSizeFactor,
     this.child,
-  }) : super(listenable: sizeFactor);
+  }) : assert(fixedCrossAxisSizeFactor == null || fixedCrossAxisSizeFactor >= 0.0),
+    super(listenable: sizeFactor);
 
   /// [Axis.horizontal] if [sizeFactor] modifies the width, otherwise
   /// [Axis.vertical].
@@ -471,6 +473,14 @@ class SizeTransition extends AnimatedWidget {
   /// A value of 0.0 (the default) indicates the center for either [axis] value.
   final double axisAlignment;
 
+  /// The factor by which to multiply the cross axis size of the child.
+  ///
+  /// If the value of [fixedCrossAxisSizeFactor] is less than one, the child
+  /// will be clipped along the appropriate axis.
+  ///
+  /// If `null` (the default), the cross axis size is as large as the parent.
+  final double? fixedCrossAxisSizeFactor;
+
   /// The widget below this widget in the tree.
   ///
   /// {@macro flutter.widgets.ProxyWidget.child}
@@ -487,8 +497,8 @@ class SizeTransition extends AnimatedWidget {
     return ClipRect(
       child: Align(
         alignment: alignment,
-        heightFactor: axis == Axis.vertical ? math.max(sizeFactor.value, 0.0) : null,
-        widthFactor: axis == Axis.horizontal ? math.max(sizeFactor.value, 0.0) : null,
+        heightFactor: axis == Axis.vertical ? math.max(sizeFactor.value, 0.0) : fixedCrossAxisSizeFactor,
+        widthFactor: axis == Axis.horizontal ? math.max(sizeFactor.value, 0.0) : fixedCrossAxisSizeFactor,
         child: child,
       ),
     );
diff --git a/packages/flutter/test/widgets/transitions_test.dart b/packages/flutter/test/widgets/transitions_test.dart
index 92f74baf604..f7c8eb17267 100644
--- a/packages/flutter/test/widgets/transitions_test.dart
+++ b/packages/flutter/test/widgets/transitions_test.dart
@@ -244,6 +244,7 @@ void main() {
       textDirection: TextDirection.ltr,
       child: SizeTransition(
         sizeFactor: animation,
+        fixedCrossAxisSizeFactor: 2.0,
         child: const Text('Ready'),
       ),
     );
@@ -252,18 +253,22 @@ void main() {
 
     final RenderPositionedBox actualPositionedBox = tester.renderObject(find.byType(Align));
     expect(actualPositionedBox.heightFactor, 0.0);
+    expect(actualPositionedBox.widthFactor, 2.0);
 
     controller.value = 0.0;
     await tester.pump();
     expect(actualPositionedBox.heightFactor, 0.0);
+    expect(actualPositionedBox.widthFactor, 2.0);
 
     controller.value = 0.75;
     await tester.pump();
     expect(actualPositionedBox.heightFactor, 0.5);
+    expect(actualPositionedBox.widthFactor, 2.0);
 
     controller.value = 1.0;
     await tester.pump();
     expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 2.0);
   });
 
   testWidgetsWithLeakTracking('SizeTransition clamps negative size factors - horizontal axis', (WidgetTester tester) async {
@@ -275,6 +280,7 @@ void main() {
       child: SizeTransition(
         axis: Axis.horizontal,
         sizeFactor: animation,
+        fixedCrossAxisSizeFactor: 1.0,
         child: const Text('Ready'),
       ),
     );
@@ -283,18 +289,139 @@ void main() {
 
     final RenderPositionedBox actualPositionedBox = tester.renderObject(find.byType(Align));
     expect(actualPositionedBox.widthFactor, 0.0);
+    expect(actualPositionedBox.heightFactor, 1.0);
 
     controller.value = 0.0;
     await tester.pump();
     expect(actualPositionedBox.widthFactor, 0.0);
+    expect(actualPositionedBox.heightFactor, 1.0);
 
     controller.value = 0.75;
     await tester.pump();
     expect(actualPositionedBox.widthFactor, 0.5);
+    expect(actualPositionedBox.heightFactor, 1.0);
 
     controller.value = 1.0;
     await tester.pump();
     expect(actualPositionedBox.widthFactor, 1.0);
+    expect(actualPositionedBox.heightFactor, 1.0);
+  });
+
+  testWidgetsWithLeakTracking('SizeTransition with fixedCrossAxisSizeFactor should size its cross axis from its children - vertical axis', (WidgetTester tester) async {
+    final AnimationController controller = AnimationController(vsync: const TestVSync());
+    final Animation<double> animation = Tween<double>(begin: 0, end: 1.0).animate(controller);
+
+    const Key key = Key('key');
+
+    final Widget widget =  Directionality(
+      textDirection: TextDirection.ltr,
+      child: Center(
+        child: SizedBox(
+          key: key,
+          child: SizeTransition(
+            sizeFactor: animation,
+            fixedCrossAxisSizeFactor: 1.0,
+            child: const SizedBox.square(dimension: 100),
+          ),
+        ),
+      ),
+    );
+
+    await tester.pumpWidget(widget);
+
+    final RenderPositionedBox actualPositionedBox = tester.renderObject(find.byType(Align));
+    expect(actualPositionedBox.heightFactor, 0.0);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size(100, 0));
+
+    controller.value = 0.0;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 0.0);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size(100, 0));
+
+    controller.value = 0.5;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 0.5);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size(100, 50));
+
+    controller.value = 1.0;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size.square(100));
+
+    controller.value = 0.5;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 0.5);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size(100, 50));
+
+    controller.value = 0.0;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 0.0);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size(100, 0));
+  });
+
+  testWidgetsWithLeakTracking('SizeTransition with fixedCrossAxisSizeFactor should size its cross axis from its children - horizontal axis', (WidgetTester tester) async {
+    final AnimationController controller = AnimationController(vsync: const TestVSync());
+    final Animation<double> animation = Tween<double>(begin: 0.0, end: 1.0).animate(controller);
+
+    const Key key = Key('key');
+
+    final Widget widget =  Directionality(
+      textDirection: TextDirection.ltr,
+      child: Center(
+        child: SizedBox(
+          key: key,
+          child: SizeTransition(
+            axis: Axis.horizontal,
+            sizeFactor: animation,
+            fixedCrossAxisSizeFactor: 1.0,
+            child: const SizedBox.square(dimension: 100),
+          ),
+        ),
+      ),
+    );
+
+    await tester.pumpWidget(widget);
+
+    final RenderPositionedBox actualPositionedBox = tester.renderObject(find.byType(Align));
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 0.0);
+    expect(tester.getSize(find.byKey(key)), const Size(0, 100));
+
+    controller.value = 0.0;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 0.0);
+    expect(tester.getSize(find.byKey(key)), const Size(0, 100));
+
+    controller.value = 0.5;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 0.5);
+    expect(tester.getSize(find.byKey(key)), const Size(50, 100));
+
+    controller.value = 1.0;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 1.0);
+    expect(tester.getSize(find.byKey(key)), const Size.square(100));
+
+    controller.value = 0.5;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 0.5);
+    expect(tester.getSize(find.byKey(key)), const Size(50, 100));
+
+    controller.value = 0.0;
+    await tester.pump();
+    expect(actualPositionedBox.heightFactor, 1.0);
+    expect(actualPositionedBox.widthFactor, 0.0);
+    expect(tester.getSize(find.byKey(key)), const Size(0, 100));
   });
 
   testWidgetsWithLeakTracking('MatrixTransition animates', (WidgetTester tester) async {