laravel and multi-sessions from the same browser

In our web app, If I use a single browser, login to our application as user A, open another tab and login as user B - User A loses his session data. I assume this is due to a shared cookie made out with the user-agent. Is there a way to concat its name with a username? so that sessions can co-exist between concurrent logged in users using the same browser on the same machine?

We use Laravel 5. Is there any way around it?

via Chebli Mohamed