When displaying a flutter app from a browser (chrome in this example) on a mobile device, the browser's app bar does not scroll off screen when the content of the page is scrolled. Is there a way to achieve that scroll?

This question regards to Flutter Web only

Demo

Here is a comparison between a flutter demo app and a simple search results page on Google. You can see how the app bar doesn't move in the first example but does move on the search results page.
enter image description here

Code

import 'package:flutter/material.dart';

void main() {
  runApp(MyApp());
}

final List<ListTile> _list = List.generate(50, (index) {
  return ListTile(
    title: Text('Hello World $index'),
  );
});

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'Test',
      theme: ThemeData(
        primarySwatch: Colors.blue,
        visualDensity: VisualDensity.adaptivePlatformDensity,
      ),
      home: Material(
        child: ListView(
          children: _list,
        ),
      ),
    );
  }
}