diff --git a/packages/flutter/lib/src/material/app_bar.dart b/packages/flutter/lib/src/material/app_bar.dart
index 5c43195c94c..8a1999f5d79 100644
--- a/packages/flutter/lib/src/material/app_bar.dart
+++ b/packages/flutter/lib/src/material/app_bar.dart
@@ -26,6 +26,7 @@ import 'text_theme.dart';
 import 'theme.dart';
 
 const double _kLeadingWidth = kToolbarHeight; // So the leading button is square.
+const double _kMaxTitleTextScaleFactor = 1.34; // TODO(perc): Add link to Material spec when available, https://github.com/flutter/flutter/issues/58769.
 
 // Bottom justify the kToolbarHeight child which may overflow the top.
 class _ToolbarContainerLayout extends SingleChildLayoutDelegate {
@@ -565,6 +566,25 @@ class _AppBarState extends State<AppBar> {
         overflow: TextOverflow.ellipsis,
         child: title,
       );
+
+      // Set maximum text scale factor to [_kMaxTitleTextScaleFactor] for the
+      // title to keep the visual hierarchy the same even with larger font
+      // sizes. To opt out, wrap the [title] widget in a [MediaQuery] widget
+      // with [MediaQueryData.textScaleFactor] set to
+      // `MediaQuery.textScaleFactorOf(context)`.
+      // ignore: deprecated_member_use_from_same_package
+      if (appBarTheme?.shouldCapTextScaleForTitle == true) {
+        final MediaQueryData mediaQueryData = MediaQuery.of(context);
+        title = MediaQuery(
+          data: mediaQueryData.copyWith(
+            textScaleFactor: math.min(
+              mediaQueryData.textScaleFactor,
+              _kMaxTitleTextScaleFactor,
+            ),
+          ),
+          child: title,
+        );
+      }
     }
 
     Widget actions;
diff --git a/packages/flutter/lib/src/material/app_bar_theme.dart b/packages/flutter/lib/src/material/app_bar_theme.dart
index 356bf47ab53..149e9f668be 100644
--- a/packages/flutter/lib/src/material/app_bar_theme.dart
+++ b/packages/flutter/lib/src/material/app_bar_theme.dart
@@ -41,6 +41,12 @@ class AppBarTheme with Diagnosticable {
     this.actionsIconTheme,
     this.textTheme,
     this.centerTitle,
+    @Deprecated(
+      'Deprecated property to cap text scaling for title. '
+      'This feature was deprecated after v1.19.0.'
+    )
+    // ignore: deprecated_member_use_from_same_package
+    this.shouldCapTextScaleForTitle = false,
   });
 
   /// Default value for [AppBar.brightness].
@@ -83,6 +89,19 @@ class AppBarTheme with Diagnosticable {
   /// If null, the value is adapted to current [TargetPlatform].
   final bool centerTitle;
 
+  /// Cap text scale to a maximum for [AppBar.title].
+  ///
+  /// This flag is deprecated and caps the text scaling to a maximum for
+  /// [AppBar.title], to keep the visual hierarchy in an app with large font
+  /// sizes. It exists to provide backwards compatibility to ease migrations,
+  /// and will eventually be removed as the maximum text scale will be enabled
+  /// by default.
+  @Deprecated(
+    'Deprecated property to cap text scaling for title. '
+    'This feature was deprecated after v1.19.0.'
+  )
+  final bool shouldCapTextScaleForTitle;
+
   /// Creates a copy of this object with the given fields replaced with the
   /// new values.
   AppBarTheme copyWith({
@@ -94,6 +113,12 @@ class AppBarTheme with Diagnosticable {
     IconThemeData iconTheme,
     TextTheme textTheme,
     bool centerTitle,
+    @Deprecated(
+      'Deprecated property to cap text scaling for title. '
+      'This feature was deprecated after v1.19.0.'
+    )
+    // ignore: deprecated_member_use_from_same_package
+    bool shouldCapTextScaleForTitle,
   }) {
     return AppBarTheme(
       brightness: brightness ?? this.brightness,
@@ -104,6 +129,8 @@ class AppBarTheme with Diagnosticable {
       actionsIconTheme: actionsIconTheme ?? this.actionsIconTheme,
       textTheme: textTheme ?? this.textTheme,
       centerTitle: centerTitle ?? this.centerTitle,
+      // ignore: deprecated_member_use_from_same_package
+      shouldCapTextScaleForTitle: shouldCapTextScaleForTitle ?? this.shouldCapTextScaleForTitle,
     );
   }
 
@@ -128,6 +155,8 @@ class AppBarTheme with Diagnosticable {
       actionsIconTheme: IconThemeData.lerp(a?.actionsIconTheme, b?.actionsIconTheme, t),
       textTheme: TextTheme.lerp(a?.textTheme, b?.textTheme, t),
       centerTitle: t < 0.5 ? a?.centerTitle : b?.centerTitle,
+      // ignore: deprecated_member_use_from_same_package
+      shouldCapTextScaleForTitle: a?.shouldCapTextScaleForTitle == true || b?.shouldCapTextScaleForTitle == true,
     );
   }
 
@@ -159,7 +188,9 @@ class AppBarTheme with Diagnosticable {
         && other.iconTheme == iconTheme
         && other.actionsIconTheme == actionsIconTheme
         && other.textTheme == textTheme
-        && other.centerTitle == centerTitle;
+        && other.centerTitle == centerTitle
+        // ignore: deprecated_member_use_from_same_package
+        && other.shouldCapTextScaleForTitle == shouldCapTextScaleForTitle;
   }
 
   @override
@@ -173,5 +204,7 @@ class AppBarTheme with Diagnosticable {
     properties.add(DiagnosticsProperty<IconThemeData>('actionsIconTheme', actionsIconTheme, defaultValue: null));
     properties.add(DiagnosticsProperty<TextTheme>('textTheme', textTheme, defaultValue: null));
     properties.add(DiagnosticsProperty<bool>('centerTitle', centerTitle, defaultValue: null));
+    // ignore: deprecated_member_use_from_same_package
+    properties.add(DiagnosticsProperty<bool>('shouldCapTextScaleForTitle', shouldCapTextScaleForTitle, defaultValue: null));
   }
 }
diff --git a/packages/flutter/test/material/app_bar_test.dart b/packages/flutter/test/material/app_bar_test.dart
index 86385376c0a..ec8bc578af2 100644
--- a/packages/flutter/test/material/app_bar_test.dart
+++ b/packages/flutter/test/material/app_bar_test.dart
@@ -1810,6 +1810,51 @@ void main() {
     expect(getMaterialWidget(materialFinder).shape, roundedRectangleBorder);
   });
 
+  testWidgets('AppBars title has upper limit on text scaling, textScaleFactor = 1, 1.34, 2', (WidgetTester tester) async {
+    double textScaleFactor;
+
+    Widget buildFrame() {
+      return MaterialApp(
+        home: Builder(
+          builder: (BuildContext context) {
+            final ThemeData themeData = Theme.of(context);
+            return Theme(
+              data: themeData.copyWith(
+                appBarTheme: themeData.appBarTheme.copyWith(
+                  // ignore: deprecated_member_use_from_same_package
+                  shouldCapTextScaleForTitle: true,
+                ),
+              ),
+              child: MediaQuery(
+                data: MediaQuery.of(context).copyWith(textScaleFactor: textScaleFactor),
+                child: Scaffold(
+                  appBar: AppBar(
+                    centerTitle: false,
+                    title: const Text('Jumbo', style: TextStyle(fontSize: 18)),
+                  ),
+                ),
+              ),
+            );
+          },
+        ),
+      );
+    }
+
+    final Finder appBarTitle = find.text('Jumbo');
+
+    textScaleFactor = 1;
+    await tester.pumpWidget(buildFrame());
+    expect(tester.getRect(appBarTitle).height, 18);
+
+    textScaleFactor = 1.34;
+    await tester.pumpWidget(buildFrame());
+    expect(tester.getRect(appBarTitle).height, 24);
+
+    textScaleFactor = 2;
+    await tester.pumpWidget(buildFrame());
+    expect(tester.getRect(appBarTitle).height, 24);
+  });
+
   testWidgets('AppBars with jumbo titles, textScaleFactor = 3, 3.5, 4', (WidgetTester tester) async {
     double textScaleFactor;
     TextDirection textDirection;