The game-winning touchdown came on a 30-yard fourth-quarter pass from Erik Ainge to Bret Smith.
Ole Miss had led 17-14 after Bryan Brown returned an interception 34 yards for a score, also in the fourth.
The Volunteers are now 5-1 overall and 3-1 in the SEC. The Rebels are 3-4 and 2-2.
Swim Week Miami Beach 2014 [PHOTOS]