At the top of this forum is a "sticky" post with links to state landlord tenant laws. You can review that, though a quick review indicates Alabama is bereft of real LT laws. So tis unlikely there would be such a stipulation. If there was, it would mostl likely be for people with a lease.
Since you have nothing in writing, you really have no recourse. If the landlord wants you out, you go. If he gives you reasonable notice (at least 30 days), I don't think there is anything you can do.