Millennium Physician Walk-in, Port Charlotte is an urgent care center in Port Charlotte and is open today from 7:00AM to 7:00PM.They are located at 2450 Tamiami Trail and open 7 days per week.. Patients have given an average rating of 4 stars out of 5 for their experience at Millennium Physician Walk-in, Port Charlotte.. Nationally, we are seeing urgent care patients wait an average of 15-30 ....