Cookie-less Session

For a few days I wonder whether or not I can create cookie-less session. Well I can remove all the cookies from the web middleware but still the laravel session cookie is created.

I have purposely removed all other middleware because all I want to do is remove all cookies. This is my web middleware group:

'web' => [
       \App\Middleware\CustomStartSession::class,
        \Illuminate\View\Middleware\ShareErrorsFromSession::class,
    ],

There are ways to identify the user browser by token used as cookie. I can give this token to the browser inside the requests' headers. So basically I can remove all the cookies. Here is the problem. When I extend Laravel's StartSession class into CustomStartSession ShareErrorsFromSession middleware stop to work.

class CustomStartSession extends \Illuminate\Session\Middleware\StartSession {}

The code is straightforward but ShareErrorsFromSession middleware does not work. Can somebody give me a clue on how to get this to work, than I can modify CustomStartSession to remove the session cookies and use the token.