Flutter Drawer below AppBar

I've implemented a Drawer in my Flutter app.

Closed Drawer:

Opened Drawer:

As you can see, the Drawer is on top of the Appbar. Before I started the app on Flutter, we had a native Android app with a Drawer that used to look like this:

Closed Drawer:

Opened Drawer:

Here is my code:

class MyDrawer extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return _buildDrawer(context);
  }
}

Widget _buildDrawer(BuildContext context) {
  return new Drawer(
    child: new ListView(
      children: <Widget>[
        _buildDrawerItem(context, EnumDrawerItem.PROJECT_SELECTION, Icons.home, Colors.transparent),
        new Divider(height: 20.0),
        _buildDrawerItem(context, EnumDrawerItem.TASK_LIST, Icons.home, Colors.transparent),
        new Divider(),
        _buildDrawerItem(context, EnumDrawerItem.GUIDED_TASKS, Icons.home, Colors.transparent),
        new Divider(),
        _buildDrawerItem(context, EnumDrawerItem.PHOTOS, Icons.home, Colors.transparent),
        new Divider(),
        _buildDrawerItem(context, EnumDrawerItem.DOCUMENTS, Icons.home, Colors.transparent),
        new Divider(),
        _buildDrawerItem(context, EnumDrawerItem.LOG_OUT, Icons.home, const Color(0x85bf0202)),
        new Divider(),
      ],
    ),
  );
}

Widget _buildDrawerItem(BuildContext context, EnumDrawerItem drawerItem, IconData iconData, Color color) {
  return  Container(
    color: color,
    child: new Padding(
      padding: new EdgeInsets.all(7.0),
      child: new Row(
        children: <Widget>[
          new Icon(iconData),
          new Container(
            margin: new EdgeInsets.fromLTRB(10.0, 0.0, 0.0, 0.0),
            child: new Text(
              drawerItem.toString(),
              style: styleDrawerItem,
            ),
          ),
        ],
      ),
    ),
  );
}

I know this is the standard Material Design style, but the client wants it as it was before.

Would it be possible to implemented it as in the 2 last screenshots? Do you have any idea?

Wrap your main Scaffold in another Scaffold and use the drawer of child Scaffold also make sure to set automaticallyImplyLeading to false so you don't get back icon in the AppBar

UPDATE : i don't recommend this way because of this issue

return Scaffold(
      primary: true,
      appBar: AppBar(
        title: Text("Parent Scaffold"),
        automaticallyImplyLeading: false,
      ),
      body: Scaffold(
        drawer: Drawer(),
      ),
    );