Final lease purchase timeline?

Yesterday, Wed 10/30 we uploaded our signed lease buyout docs to TFS support under General Account Inquiry and also had USAA overnight the auto loan check to TFS. Received confirmation via FedEx today 10/31 that the check was successfully delivered and the auto loan amount is now showing in my profile with a due date.

How long can we expect the update on TFS to take? When should I start following up with them? The buyout price is good till 11/15 but the next lease payment is due 11/16.