MedCenter South is an urgent care center in Tuscaloosa and is open today from 8:30AM to 8:00PM.They are located at 5005 Oscar Baxter Dr and open 7 days per week.. Patients have given an average rating of 4 stars out of 5 for their experience at MedCenter South.. Nationally, we are seeing urgent care patients wait an average of 15-30 minutes before being seen by a healthcare provider, which ....