diff --git a/dev/tools/gen_defaults/lib/drawer_template.dart b/dev/tools/gen_defaults/lib/drawer_template.dart
index cacf1871a9ecf..6a21403c8016f 100644
--- a/dev/tools/gen_defaults/lib/drawer_template.dart
+++ b/dev/tools/gen_defaults/lib/drawer_template.dart
@@ -10,10 +10,11 @@ class DrawerTemplate extends TokenTemplate {
   @override
   String generate() => '''
 class _${blockName}DefaultsM3 extends DrawerThemeData {
-  const _${blockName}DefaultsM3(this.context)
+  _${blockName}DefaultsM3(this.context)
       : super(elevation: ${elevation("md.comp.navigation-drawer.modal.container")});
 
   final BuildContext context;
+  late final TextDirection direction = Directionality.of(context);
 
   @override
   Color? get backgroundColor => ${componentColor("md.comp.navigation-drawer.container")};
@@ -24,18 +25,22 @@ class _${blockName}DefaultsM3 extends DrawerThemeData {
   @override
   Color? get shadowColor => ${colorOrTransparent("md.comp.navigation-drawer.container.shadow-color")};
 
-  // This don't appear to be tokens for this value, but it is
-  // shown in the spec.
+  // There isn't currently a token for this value, but it is shown in the spec,
+  // so hard coding here for now.
   @override
-  ShapeBorder? get shape => const RoundedRectangleBorder(
-    borderRadius: BorderRadius.horizontal(right: Radius.circular(16.0)),
+  ShapeBorder? get shape => RoundedRectangleBorder(
+    borderRadius: const BorderRadiusDirectional.horizontal(
+      end: Radius.circular(16.0),
+    ).resolve(direction),
   );
 
-  // This don't appear to be tokens for this value, but it is
-  // shown in the spec.
+  // There isn't currently a token for this value, but it is shown in the spec,
+  // so hard coding here for now.
   @override
-  ShapeBorder? get endShape => const RoundedRectangleBorder(
-    borderRadius: BorderRadius.horizontal(left: Radius.circular(16.0)),
+  ShapeBorder? get endShape => RoundedRectangleBorder(
+    borderRadius: const BorderRadiusDirectional.horizontal(
+      start: Radius.circular(16.0),
+    ).resolve(direction),
   );
 }
 ''';
diff --git a/packages/flutter/lib/src/material/drawer.dart b/packages/flutter/lib/src/material/drawer.dart
index 622d4893d1958..ef160c5a9fe1d 100644
--- a/packages/flutter/lib/src/material/drawer.dart
+++ b/packages/flutter/lib/src/material/drawer.dart
@@ -830,10 +830,11 @@ class _DrawerDefaultsM2 extends DrawerThemeData {
 // Token database version: v0_150
 
 class _DrawerDefaultsM3 extends DrawerThemeData {
-  const _DrawerDefaultsM3(this.context)
+  _DrawerDefaultsM3(this.context)
       : super(elevation: 1.0);
 
   final BuildContext context;
+  late final TextDirection direction = Directionality.of(context);
 
   @override
   Color? get backgroundColor => Theme.of(context).colorScheme.surface;
@@ -844,18 +845,22 @@ class _DrawerDefaultsM3 extends DrawerThemeData {
   @override
   Color? get shadowColor => Colors.transparent;
 
-  // This don't appear to be tokens for this value, but it is
-  // shown in the spec.
+  // There isn't currently a token for this value, but it is shown in the spec,
+  // so hard coding here for now.
   @override
-  ShapeBorder? get shape => const RoundedRectangleBorder(
-    borderRadius: BorderRadius.horizontal(right: Radius.circular(16.0)),
+  ShapeBorder? get shape => RoundedRectangleBorder(
+    borderRadius: const BorderRadiusDirectional.horizontal(
+      end: Radius.circular(16.0),
+    ).resolve(direction),
   );
 
-  // This don't appear to be tokens for this value, but it is
-  // shown in the spec.
+  // There isn't currently a token for this value, but it is shown in the spec,
+  // so hard coding here for now.
   @override
-  ShapeBorder? get endShape => const RoundedRectangleBorder(
-    borderRadius: BorderRadius.horizontal(left: Radius.circular(16.0)),
+  ShapeBorder? get endShape => RoundedRectangleBorder(
+    borderRadius: const BorderRadiusDirectional.horizontal(
+      start: Radius.circular(16.0),
+    ).resolve(direction),
   );
 }
 
diff --git a/packages/flutter/test/material/drawer_test.dart b/packages/flutter/test/material/drawer_test.dart
index 4c9aa6db94ece..6c80e53625c5c 100644
--- a/packages/flutter/test/material/drawer_test.dart
+++ b/packages/flutter/test/material/drawer_test.dart
@@ -567,4 +567,170 @@ void main() {
     final RenderBox box = tester.renderObject(find.byType(Drawer));
     expect(box.size.width, equals(smallWidth));
   });
+
+  testWidgets('Drawer default shape (ltr)', (WidgetTester tester) async {
+    await tester.pumpWidget(
+      MaterialApp(
+        theme: ThemeData(useMaterial3: true),
+        home: const Directionality(
+          textDirection: TextDirection.ltr,
+          child: Scaffold(
+            drawer: Drawer(),
+            endDrawer: Drawer(),
+          ),
+        ),
+      ),
+    );
+
+    final Finder drawerMaterial = find.descendant(
+      of: find.byType(Drawer),
+      matching: find.byType(Material),
+    );
+
+    final ScaffoldState state = tester.firstState(find.byType(Scaffold));
+
+    // Open the drawer.
+    state.openDrawer();
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1));
+
+    // Test the drawer shape.
+    Material material = tester.widget<Material>(drawerMaterial);
+    expect(
+      material.shape,
+      const RoundedRectangleBorder(
+        borderRadius: BorderRadius.only(
+          topRight: Radius.circular(16.0),
+          bottomRight: Radius.circular(16.0),
+        ),
+      ),
+    );
+
+    // Close the opened drawer.
+    await tester.tapAt(const Offset(750, 300));
+    await tester.pumpAndSettle();
+
+    // Open the end drawer.
+    state.openEndDrawer();
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1));
+
+    // Test the end drawer shape.
+    material = tester.widget<Material>(drawerMaterial);
+    expect(
+      material.shape,
+      const RoundedRectangleBorder(
+        borderRadius: BorderRadius.only(
+          topLeft: Radius.circular(16.0),
+          bottomLeft: Radius.circular(16.0),
+        ),
+      ),
+    );
+  });
+
+  testWidgets('Drawer default shape (rtl)', (WidgetTester tester) async {
+    await tester.pumpWidget(
+      MaterialApp(
+        theme: ThemeData(useMaterial3: true),
+        home: const Directionality(
+          textDirection: TextDirection.rtl,
+          child: Scaffold(
+            drawer: Drawer(),
+            endDrawer: Drawer(),
+          ),
+        ),
+      ),
+    );
+
+    final Finder drawerMaterial = find.descendant(
+      of: find.byType(Drawer),
+      matching: find.byType(Material),
+    );
+
+    final ScaffoldState state = tester.firstState(find.byType(Scaffold));
+
+    // Open the drawer.
+    state.openDrawer();
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1));
+
+    // Test the drawer shape.
+    Material material = tester.widget<Material>(drawerMaterial);
+    expect(
+      material.shape,
+      const RoundedRectangleBorder(
+        borderRadius: BorderRadius.only(
+          topLeft: Radius.circular(16.0),
+          bottomLeft: Radius.circular(16.0),
+        ),
+      ),
+    );
+
+    // Close the opened drawer.
+    await tester.tapAt(const Offset(750, 300));
+    await tester.pumpAndSettle();
+
+    // Open the end drawer.
+    state.openEndDrawer();
+    await tester.pump();
+    await tester.pump(const Duration(seconds: 1));
+
+    // Test the end drawer shape.
+    material = tester.widget<Material>(drawerMaterial);
+    expect(
+      material.shape,
+      const RoundedRectangleBorder(
+        borderRadius: BorderRadius.only(
+          topRight: Radius.circular(16.0),
+          bottomRight: Radius.circular(16.0),
+        ),
+      ),
+    );
+  });
+
+  group('Material 2', () {
+    // Tests that are only relevant for Material 2. Once ThemeData.useMaterial3
+    // is turned on by default, these tests can be removed.
+
+    testWidgets('Drawer default shape', (WidgetTester tester) async {
+      await tester.pumpWidget(
+        MaterialApp(
+          theme: ThemeData(useMaterial3: false),
+          home: const Scaffold(
+            drawer: Drawer(),
+            endDrawer: Drawer(),
+          ),
+        ),
+      );
+
+      final Finder drawerMaterial = find.descendant(
+        of: find.byType(Drawer),
+        matching: find.byType(Material),
+      );
+
+      final ScaffoldState state = tester.firstState(find.byType(Scaffold));
+
+      // Open the drawer.
+      state.openDrawer();
+      await tester.pump();
+      await tester.pump(const Duration(seconds: 1));
+
+      // Test the drawer shape.
+      Material material = tester.widget<Material>(drawerMaterial);
+      expect(material.shape, null);
+
+      // Close the opened drawer.
+      await tester.tapAt(const Offset(750, 300));
+      await tester.pumpAndSettle();
+
+      // Open the end drawer.
+      state.openEndDrawer();
+      await tester.pump();
+      await tester.pump(const Duration(seconds: 1));
+
+      // Test the end drawer shape.
+      material = tester.widget<Material>(drawerMaterial);
+      expect(material.shape, null);
+    });
+  });
 }