Can I push a URL into my application's 'history' when testing in Laravel?

I'm writing a test suite for a Laravel web application. I'm making assertions against an endpoint that uses Laravel Request validation to validate the user input. This automatically redirects the user back to the previous page.

$request->validate([
    'name'     => 'required',
    'email'    => 'required|email',
    'timeslot' => 'required'
]);

Currently, I am asserting that I if I post invalid data to this endpoint, I receive a redirect status code back. This is fine, but I would also like to assert, more specifically, that the user is redirected back to the previous page.

I feel that in order to properly test this condition, I need to somehow 'push' a URL into my test suite's/application's browser history, then assert that the redirect URL is that same URL.

How can I do this?