Scroll-to-top WebView in flutter

Question

Is there a way to make a floating button auto-scrolling to the top of a WebView and not a ListView with flutter? This is the simple one-page flutter code where WebView is being used.

import 'package:flutter/material.dart';
import 'package:flutter/widgets.dart';
import 'package:webview_flutter/webview_flutter.dart';   

class HomePage extends StatefulWidget {
  const HomePage({Key? key}) : super(key: key);

  @override
  _HomePageState createState() => _HomePageState();
}

class _HomePageState extends State<HomePage> with TickerProviderStateMixin{
  WebViewController? webViewController;

  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      debugShowCheckedModeBanner: false,
      title: 'Welcome to Flutter',
      home: SafeArea(
       child : WillPopScope(
        onWillPop: () => _exitApp(context),
        child : Scaffold(
          body: Stack(
            children: <Widget> [
                WebView(
                  initialUrl: "https://google.com",
                  zoomEnabled: false,
                  javascriptMode: JavascriptMode.unrestricted,
                  onWebViewCreated: (controller){
                    webViewController = controller;
                  },
               
    return true;
  }

}