That is really dependent on the lender and how soon they can review those conditions. Assuming when they review what you submitted that there are no new questions or items to address, such as providing cancelled checks for the deposits, then closing Friday in not stretching things too much.
Some lenders are really good at meeting closing dates and some have a lot of red tape and are not so good. The larger the bank, usually the slower they move.
Just keep in good communication with your loan officer and make yourself available to fulfill any last minute conditions, and hopefully you'll be fine.
Once a clear to close is granted, it generally takes a day or so for the documents to go out to the closing agent and to get you your figures for closing.
I always advise people not to line up movers,deliveries, cable installers, etc until everything is cleared and the closing is set. Before then, any number of things can happen to delay things, whether it has to do with the loan, the buyers, or the sellers.