diff --git a/packages/flutter/lib/src/material/scrollbar.dart b/packages/flutter/lib/src/material/scrollbar.dart
index 3f53f6b5ce..22500e7110 100644
--- a/packages/flutter/lib/src/material/scrollbar.dart
+++ b/packages/flutter/lib/src/material/scrollbar.dart
@@ -91,7 +91,7 @@ const Duration _kScrollbarTimeToFade = Duration(milliseconds: 600);
 ///  * [CupertinoScrollbar], an iOS style scrollbar.
 ///  * [ListView], which displays a linear, scrollable list of children.
 ///  * [GridView], which displays a 2 dimensional, scrollable array of children.
-class Scrollbar extends StatefulWidget {
+class Scrollbar extends StatelessWidget {
   /// Creates a material design scrollbar that by default will connect to the
   /// closest Scrollable descendant of [child].
   ///
@@ -169,39 +169,32 @@ class Scrollbar extends StatefulWidget {
   /// {@macro flutter.widgets.Scrollbar.scrollbarOrientation}
   final ScrollbarOrientation? scrollbarOrientation;
 
-  @override
-  State<Scrollbar> createState() => _ScrollbarState();
-}
-
-class _ScrollbarState extends State<Scrollbar> {
-  bool get _useCupertinoScrollbar => Theme.of(context).platform == TargetPlatform.iOS;
-
   @override
   Widget build(BuildContext context) {
-    if (_useCupertinoScrollbar) {
+    if (Theme.of(context).platform == TargetPlatform.iOS) {
       return CupertinoScrollbar(
-        isAlwaysShown: widget.isAlwaysShown ?? false,
-        thickness: widget.thickness ?? CupertinoScrollbar.defaultThickness,
-        thicknessWhileDragging: widget.thickness ?? CupertinoScrollbar.defaultThicknessWhileDragging,
-        radius: widget.radius ?? CupertinoScrollbar.defaultRadius,
-        radiusWhileDragging: widget.radius ?? CupertinoScrollbar.defaultRadiusWhileDragging,
-        controller: widget.controller,
-        notificationPredicate: widget.notificationPredicate,
-        scrollbarOrientation: widget.scrollbarOrientation,
-        child: widget.child,
+        isAlwaysShown: isAlwaysShown ?? false,
+        thickness: thickness ?? CupertinoScrollbar.defaultThickness,
+        thicknessWhileDragging: thickness ?? CupertinoScrollbar.defaultThicknessWhileDragging,
+        radius: radius ?? CupertinoScrollbar.defaultRadius,
+        radiusWhileDragging: radius ?? CupertinoScrollbar.defaultRadiusWhileDragging,
+        controller: controller,
+        notificationPredicate: notificationPredicate,
+        scrollbarOrientation: scrollbarOrientation,
+        child: child,
       );
     }
     return _MaterialScrollbar(
-      controller: widget.controller,
-      isAlwaysShown: widget.isAlwaysShown,
-      showTrackOnHover: widget.showTrackOnHover,
-      hoverThickness: widget.hoverThickness,
-      thickness: widget.thickness,
-      radius: widget.radius,
-      notificationPredicate: widget.notificationPredicate,
-      interactive: widget.interactive,
-      scrollbarOrientation: widget.scrollbarOrientation,
-      child: widget.child,
+      controller: controller,
+      isAlwaysShown: isAlwaysShown,
+      showTrackOnHover: showTrackOnHover,
+      hoverThickness: hoverThickness,
+      thickness: thickness,
+      radius: radius,
+      notificationPredicate: notificationPredicate,
+      interactive: interactive,
+      scrollbarOrientation: scrollbarOrientation,
+      child: child,
     );
   }
 }