Current tenant delaying move-out (new tenant needs to move in)

[Kelly Briley]

I own a unit in Chicago. My renter told me he was going to move out by 8/28, so I rented the place to a couple expecting to move in on 9/1. Now my outgoing renter is having a hard time finding a moving company, which makes me worry that he may not be out by the 1st. The incoming tenant has to be out of their old place on the 1st, so they'll have no place to go if the current tenant doesn't vacate. I'm at a loss and could use some advice.