Bulldogs head coach Kirby Smart said postgame that Swift suffered a shoulder contusion and believes "he's going to be fine," according to The Athletic's Seth Emerson.
The star rusher hurt his shoulder after fumbling a red-zone carry. He was seen holding his arm and entering the medical tent shortly after.
Swift is one of the most dynamic offensive players in college football and his loss would be a significant blow to Georgia's scoring attack.
The junior rushed for 73 yards on 10 carries before exiting.