diff --git a/packages/material_ui/lib/src/autocomplete.dart b/packages/material_ui/lib/src/autocomplete.dart
index 17c75b3bbe2a..9e8f6e34c0d4 100644
--- a/packages/material_ui/lib/src/autocomplete.dart
+++ b/packages/material_ui/lib/src/autocomplete.dart
@@ -318,22 +318,19 @@ class _AutocompleteOptionsListState<T extends Object> extends State<_Autocomplet
       itemCount: widget.options.length,
       itemBuilder: (BuildContext context, int index) {
         final T option = widget.options.elementAt(index);
+        final bool highlight = highlightedIndex == index;
         return Semantics(
           button: true,
+          selected: highlight,
           child: InkWell(
             key: GlobalObjectKey(option),
             onTap: () {
               widget.onSelected(option);
             },
-            child: Builder(
-              builder: (BuildContext context) {
-                final highlight = highlightedIndex == index;
-                return Container(
-                  color: highlight ? Theme.of(context).focusColor : null,
-                  padding: const EdgeInsets.all(16.0),
-                  child: Text(widget.displayStringForOption(option)),
-                );
-              },
+            child: Container(
+              color: highlight ? Theme.of(context).focusColor : null,
+              padding: const EdgeInsets.all(16.0),
+              child: Text(widget.displayStringForOption(option)),
             ),
           ),
         );
diff --git a/packages/material_ui/lib/src/drawer_header.dart b/packages/material_ui/lib/src/drawer_header.dart
index cabd8c144a13..4a87f2461614 100644
--- a/packages/material_ui/lib/src/drawer_header.dart
+++ b/packages/material_ui/lib/src/drawer_header.dart
@@ -82,21 +82,24 @@ class DrawerHeader extends StatelessWidget {
     assert(debugCheckHasMediaQuery(context));
     final ThemeData theme = Theme.of(context);
     final double statusBarHeight = MediaQuery.paddingOf(context).top;
-    return Container(
-      height: statusBarHeight + _kDrawerHeaderHeight,
-      margin: margin,
-      decoration: BoxDecoration(border: Border(bottom: Divider.createBorderSide(context))),
-      child: AnimatedContainer(
-        padding: padding.add(EdgeInsets.only(top: statusBarHeight)),
-        decoration: decoration,
-        duration: duration,
-        curve: curve,
-        child: child == null
-            ? null
-            : DefaultTextStyle(
-                style: theme.textTheme.bodyLarge!,
-                child: MediaQuery.removePadding(context: context, removeTop: true, child: child!),
-              ),
+    return Semantics(
+      header: true,
+      child: Container(
+        height: statusBarHeight + _kDrawerHeaderHeight,
+        margin: margin,
+        decoration: BoxDecoration(border: Border(bottom: Divider.createBorderSide(context))),
+        child: AnimatedContainer(
+          padding: padding.add(EdgeInsets.only(top: statusBarHeight)),
+          decoration: decoration,
+          duration: duration,
+          curve: curve,
+          child: child == null
+              ? null
+              : DefaultTextStyle(
+                  style: theme.textTheme.bodyLarge!,
+                  child: MediaQuery.removePadding(context: context, removeTop: true, child: child!),
+                ),
+        ),
       ),
     );
   }
diff --git a/packages/material_ui/lib/src/tooltip.dart b/packages/material_ui/lib/src/tooltip.dart
index 95aa81b930e0..5cc8699c95dd 100644
--- a/packages/material_ui/lib/src/tooltip.dart
+++ b/packages/material_ui/lib/src/tooltip.dart
@@ -575,7 +575,8 @@ class TooltipState extends State<Tooltip> with SingleTickerProviderStateMixin {
         onTriggered: widget.onTriggered,
         dismissDelay: widget.exitDuration ?? _tooltipTheme.exitDuration ?? _defaultExitDuration,
         positionDelegate: _getDefaultPositionDelegate,
-        ignorePointer: widget.ignorePointer ?? widget.message != null,
+        ignorePointer:
+            widget.ignorePointer ?? _tooltipTheme.ignorePointer ?? widget.message != null,
         child: effectiveChild,
       );
     }
diff --git a/packages/material_ui/lib/src/tooltip_theme.dart b/packages/material_ui/lib/src/tooltip_theme.dart
index 4b130d2e75c0..993fe61f5229 100644
--- a/packages/material_ui/lib/src/tooltip_theme.dart
+++ b/packages/material_ui/lib/src/tooltip_theme.dart
@@ -54,6 +54,7 @@ class TooltipThemeData with Diagnosticable {
     this.exitDuration,
     this.triggerMode,
     this.enableFeedback,
+    this.ignorePointer,
   }) : assert(
          height == null || constraints == null,
          'Only one of `height` and `constraints` may be specified.',
@@ -137,6 +138,14 @@ class TooltipThemeData with Diagnosticable {
   ///   * [Feedback], for providing platform-specific feedback to certain actions.
   final bool? enableFeedback;
 
+  /// Whether the tooltip overlay should be invisible to hit testing.
+  ///
+  /// If `false`, moving the mouse pointer onto the tooltip overlay keeps the
+  /// tooltip visible (satisfying WCAG 1.4.13 Hoverable).
+  ///
+  /// This value is used if [Tooltip.ignorePointer] is null.
+  final bool? ignorePointer;
+
   /// Creates a copy of this object but with the given fields replaced with the
   /// new values.
   TooltipThemeData copyWith({
@@ -159,6 +168,7 @@ class TooltipThemeData with Diagnosticable {
     Duration? exitDuration,
     TooltipTriggerMode? triggerMode,
     bool? enableFeedback,
+    bool? ignorePointer,
   }) {
     return TooltipThemeData(
       height: height ?? this.height,
@@ -173,8 +183,10 @@ class TooltipThemeData with Diagnosticable {
       textAlign: textAlign ?? this.textAlign,
       waitDuration: waitDuration ?? this.waitDuration,
       showDuration: showDuration ?? this.showDuration,
+      exitDuration: exitDuration ?? this.exitDuration,
       triggerMode: triggerMode ?? this.triggerMode,
       enableFeedback: enableFeedback ?? this.enableFeedback,
+      ignorePointer: ignorePointer ?? this.ignorePointer,
     );
   }
 
@@ -198,6 +210,7 @@ class TooltipThemeData with Diagnosticable {
       decoration: Decoration.lerp(a?.decoration, b?.decoration, t),
       textStyle: TextStyle.lerp(a?.textStyle, b?.textStyle, t),
       textAlign: t < 0.5 ? a?.textAlign : b?.textAlign,
+      ignorePointer: t < 0.5 ? a?.ignorePointer : b?.ignorePointer,
     );
   }
 
@@ -218,6 +231,7 @@ class TooltipThemeData with Diagnosticable {
     exitDuration,
     triggerMode,
     enableFeedback,
+    ignorePointer,
   );
 
   @override
@@ -243,7 +257,8 @@ class TooltipThemeData with Diagnosticable {
         other.showDuration == showDuration &&
         other.exitDuration == exitDuration &&
         other.triggerMode == triggerMode &&
-        other.enableFeedback == enableFeedback;
+        other.enableFeedback == enableFeedback &&
+        other.ignorePointer == ignorePointer;
   }
 
   @override
@@ -283,6 +298,7 @@ class TooltipThemeData with Diagnosticable {
     properties.add(
       DiagnosticsProperty<TooltipTriggerMode>('triggerMode', triggerMode, defaultValue: null),
     );
+    properties.add(DiagnosticsProperty<bool>('ignorePointer', ignorePointer, defaultValue: null));
     properties.add(
       FlagProperty('enableFeedback', value: enableFeedback, ifTrue: 'true', showName: true),
     );
diff --git a/packages/material_ui/pending_changelogs/a11y_autocomplete_drawer_tooltip.yaml b/packages/material_ui/pending_changelogs/a11y_autocomplete_drawer_tooltip.yaml
new file mode 100644
index 000000000000..a6490fcc374a
--- /dev/null
+++ b/packages/material_ui/pending_changelogs/a11y_autocomplete_drawer_tooltip.yaml
@@ -0,0 +1,5 @@
+changelog: |
+  - Exposes `selected` state on `Autocomplete` option semantics.
+  - Wraps `DrawerHeader` in `Semantics(header: true)`.
+  - Adds `ignorePointer` to `TooltipThemeData` for WCAG 1.4.13 Hoverable support.
+version: minor
diff --git a/packages/material_ui/test/autocomplete_test.dart b/packages/material_ui/test/autocomplete_test.dart
index 45e403a2e31c..5617cfc2685e 100644
--- a/packages/material_ui/test/autocomplete_test.dart
+++ b/packages/material_ui/test/autocomplete_test.dart
@@ -893,18 +893,32 @@ void main() {
     );
     await tester.tap(find.byType(TextField));
     await tester.pump();
-    await tester.enterText(find.byType(TextField), 'aa');
+    await tester.enterText(find.byType(TextField), 'a');
     await tester.pump();
     expect(
       tester.getSemantics(find.text('aardvark')),
       matchesSemantics(
         isButton: true,
         isFocusable: true,
+        hasSelectedState: true,
+        isSelected: true,
         hasTapAction: true,
         hasFocusAction: true,
         label: 'aardvark',
       ),
     );
+    expect(
+      tester.getSemantics(find.text('bobcat')),
+      matchesSemantics(
+        isButton: true,
+        isFocusable: true,
+        hasSelectedState: true,
+        isSelected: false,
+        hasTapAction: true,
+        hasFocusAction: true,
+        label: 'bobcat',
+      ),
+    );
   });
 
   testWidgets('Same option in Autocomplete should be selectable again after text is cleared', (
diff --git a/packages/material_ui/test/drawer_test.dart b/packages/material_ui/test/drawer_test.dart
index 5bbfd15379fb..eba263e5e630 100644
--- a/packages/material_ui/test/drawer_test.dart
+++ b/packages/material_ui/test/drawer_test.dart
@@ -1513,4 +1513,19 @@ void main() {
     expect(tester.getSize(find.byType(Drawer)), Size.zero);
     expect(tester.getSize(find.byType(DrawerHeader)), Size.zero);
   });
+
+  testWidgets('DrawerHeader provides header semantics', (WidgetTester tester) async {
+    final SemanticsHandle handle = tester.ensureSemantics();
+    await tester.pumpWidget(
+      const MaterialApp(
+        home: Scaffold(body: DrawerHeader(child: Text('Drawer Title'))),
+      ),
+    );
+
+    expect(
+      tester.getSemantics(find.byType(DrawerHeader)),
+      matchesSemantics(isHeader: true, label: 'Drawer Title', textDirection: TextDirection.ltr),
+    );
+    handle.dispose();
+  });
 }
diff --git a/packages/material_ui/test/tooltip_theme_test.dart b/packages/material_ui/test/tooltip_theme_test.dart
index 6090f5178145..b42efbec1a75 100644
--- a/packages/material_ui/test/tooltip_theme_test.dart
+++ b/packages/material_ui/test/tooltip_theme_test.dart
@@ -41,6 +41,7 @@ void main() {
     expect(theme.exitDuration, null);
     expect(theme.triggerMode, null);
     expect(theme.enableFeedback, null);
+    expect(theme.ignorePointer, null);
   });
 
   testWidgets('Default TooltipThemeData debugFillProperties', (WidgetTester tester) async {
@@ -62,6 +63,7 @@ void main() {
     const exit = Duration(milliseconds: 100);
     const TooltipTriggerMode triggerMode = TooltipTriggerMode.longPress;
     const enableFeedback = true;
+    const ignorePointer = false;
     const TooltipThemeData(
       height: 15.0,
       padding: EdgeInsets.all(20.0),
@@ -76,6 +78,7 @@ void main() {
       exitDuration: exit,
       triggerMode: triggerMode,
       enableFeedback: enableFeedback,
+      ignorePointer: ignorePointer,
     ).debugFillProperties(builder);
 
     final List<String> description = builder.properties
@@ -97,6 +100,7 @@ void main() {
       'exit duration: $exit',
       'triggerMode: $triggerMode',
       'enableFeedback: true',
+      'ignorePointer: false',
     ]);
   });
 
@@ -1540,6 +1544,23 @@ void main() {
     );
     expect(tester.element(textAncestors.first).size, equals(themeConstraints.biggest));
   });
+
+  testWidgets('Tooltip respects ignorePointer from the ambient theme', (WidgetTester tester) async {
+    final tooltipKey = GlobalKey<TooltipState>();
+    await tester.pumpWidget(
+      MaterialApp(
+        theme: ThemeData(tooltipTheme: const TooltipThemeData(ignorePointer: false)),
+        home: Tooltip(
+          key: tooltipKey,
+          message: tooltipText,
+          child: const SizedBox(width: 100, height: 100),
+        ),
+      ),
+    );
+
+    final RawTooltip rawTooltip = tester.widget<RawTooltip>(find.byType(RawTooltip));
+    expect(rawTooltip.ignorePointer, isFalse);
+  });
 }
 
 SemanticsNode findDebugSemantics(RenderObject object) {
diff --git a/packages/material_ui/test/user_accounts_drawer_header_test.dart b/packages/material_ui/test/user_accounts_drawer_header_test.dart
index d361ba87c4b5..0955305b35e5 100644
--- a/packages/material_ui/test/user_accounts_drawer_header_test.dart
+++ b/packages/material_ui/test/user_accounts_drawer_header_test.dart
@@ -494,6 +494,7 @@ void main() {
     expect(
       tester.semantics.find(find.byType(UserAccountsDrawerHeader)),
       matchesSemantics(
+        isHeader: true,
         isFocusable: true,
         hasFocusAction: true,
         label: 'Signed in\nname\nemail',
@@ -559,6 +560,7 @@ void main() {
     expect(
       tester.semantics.find(find.byType(UserAccountsDrawerHeader)),
       matchesSemantics(
+        isHeader: true,
         label: 'Signed in',
         textDirection: TextDirection.ltr,
         children: <Matcher>[