diff --git a/packages/flutter/lib/src/material/search_anchor.dart b/packages/flutter/lib/src/material/search_anchor.dart
index 7c90db1dd0de..2954574ce191 100644
--- a/packages/flutter/lib/src/material/search_anchor.dart
+++ b/packages/flutter/lib/src/material/search_anchor.dart
@@ -777,6 +777,7 @@ class _ViewContentState extends State<_ViewContent> {
           width: _viewRect.width,
           height: _viewRect.height,
           child: Material(
+            clipBehavior: Clip.antiAlias,
             shape: effectiveShape,
             color: effectiveBackgroundColor,
             surfaceTintColor: effectiveSurfaceTint,
diff --git a/packages/flutter/test/material/search_anchor_test.dart b/packages/flutter/test/material/search_anchor_test.dart
index e05b9aaaa0e4..a15553e1390b 100644
--- a/packages/flutter/test/material/search_anchor_test.dart
+++ b/packages/flutter/test/material/search_anchor_test.dart
@@ -755,6 +755,7 @@ void main() {
     expect(material.elevation, 6.0);
     expect(material.color, colorScheme.surface);
     expect(material.surfaceTintColor, colorScheme.surfaceTint);
+    expect(material.clipBehavior, Clip.antiAlias);
 
     final Finder findDivider = find.byType(Divider);
     final Container dividerContainer = tester.widget<Container>(find.descendant(of: findDivider, matching: find.byType(Container)).first);