The win gave the Bulldogs their first Southeastern Conference win of the season.
Georgia (10-8, 1/3 SEC) won despite scoring only five points in the first 10 minutes of the second half. The Bulldogs made only 34.9 percent of their shots from the field.
Skylar McBee's only basket, a 3-pointer, gave Tennessee (8-10, 1-3) a 53-52 lead with 2:11 remaining in overtime. Following a missed jumper by Georgia's Kentavious Caldwell-Pope, a turnover by the Vols gave Georgia another chance with 1:15 remaining.
Donte Williams scored with 1:03 remaining to give Georgia a 54-43 lead, and he was fouled by Cameron Tatum on the play. Williams missed the free throw but Caldwell-Pope grabbed the rebound. Robinson's two free throws with 26.4 seconds remaining pushed the lead to three points.