I guess it really depends in when you take and pass your board exams. In the past it has taken about 2-3 business days to get the results back for the NAPLEX and MPJE. After that it's just a waiting game. The TSBP updates all of the license statuses at one time (I think on a Friday) every week so if you were to have passed both exams and received the results by that Monday, you should be licensed by Friday.
You can simply print the screen that from the TSBP website that states you are licensed and use that until your actual license comes in the mail.