How to disable the behavior Bottom Navigation Bar goes up with keyboard in flutter

In my app, I have a search page and when I click on the search text field bottom navigation bar also moves up with the keyboard where it supposed to be hidden under the keyboard. Because while the keyboard is showing I can navigate to other pages which is undesirable behavior.

The Code:

class _AppHomeViewState extends State<AppHomeView>
    with TickerProviderStateMixin {

  TabController tabController;

  @override
  void initState() {
    super.initState();
    tabController = TabController(length: 4, vsync: this, initialIndex: 0);
    tabController.addListener(handleTabSelection);
  }

  @override
  Widget build(BuildContext context) {
    final scaffold = Scaffold(
      body: SafeArea(child: _buildBody(context)),
      bottomNavigationBar: Container(
        height: 48,
        decoration: BoxDecoration(
          color: StyledColors.BACKGROUND_COLOR,
          boxShadow: [
            BoxShadow(
              color: StyledColors.FORGROUND_COLOR.withOpacity(0.16),
              blurRadius: 12,
              offset: Offset(0, 0),
            ),
          ],
        ),
        child: SafeArea(
          child: _buildTabBar(context),
        ),
      ),
    );
  }

  Widget _buildBody(BuildContext context) {
    return TabBarView(
      physics: NeverScrollableScrollPhysics(),
      controller: tabController,
      children: <Widget>[
        HomeView(),
        SearchView(),
        OrdersView(),
        ProfileView(),
      ],
    );
  }

  Widget _buildTabBar(BuildContext context) {
    return TabBar(
      controller: tabController,
      tabs: <Widget>[
        Tab(
          icon: Icon(
            Icons.store,
            size: 28,
          ),
        ),
        Tab(
          icon: Icon(
            Icons.search,
            size: 28,
          ),
        ),
        Tab(
          icon: Icon(
            Icons.receipt,
            size: 28,
          ),
        ),
        Tab(
          icon: Icon(
            Icons.person,
            size: 28,
          ),
        )
      ],
      indicatorColor: Colors.transparent,
      unselectedLabelColor: StyledColors.MEDIUM_GREY,
      labelColor: StyledColors.PRIMARY_COLOR,
    );
  }

  void handleTabSelection() {
    setState(() {});
  }
}

What is supposed to behave is when I click on the search, the bottom navigation bar should stay behind the keyboard and not come up with the keyboard?

set the resizeToAvoidBottomInset: false, in the Scaffold widget