Swansey scored 11 points in the game, with six of those coming in the final 15 seconds of overtime. Down 71-68, his trey from the right wing tied the game with 14.7 seconds remaining in overtime, but Wofford's Brad Loesing took the ensuing possession from end-to-end for a layup with 5.8 seconds left.
An errant inbounds pass from Georgia gave the Terriers (4-4) the ball back and Georgia was forced to foul with 4.2 seconds remaining. However, Wofford's Tim Johnson missed both free throws to give the Bulldogs one final chance.
Off the rebound, Swansey raced up the court and pulled up from 25-feet, where his 3-point try swished through the net to give Georgia the victory. Swansey is no stranger to clutch shots; as Swansey scored a last second 3-pointer against Kentucky in last year's SEC Tournament.
"(Swansey) played a great game," Felton said. "I envisioned him doing exactly what he did and knock down a three. But when I saw his release, I was just hopeful. But, I am very happy."
It is the third one-point victory for Georgia (7-3) this season and second in as many games. On Nov. 18, Georgia edged Eastern Michigan 61-60 and on Dec. 9, the Bulldogs earned a 67-66 win against Virginia Tech.
Through 20 minutes, Georgia held a slim 34-30 lead heading into halftime and the game would go back and forth throughout the second half. The lead switched sides eight times in the second half with Georgia taking the final lead change with a Trey Thompkins 3-pointer with 25 seconds left, making the score 62-60.
A Georgia foul sent Loesing to the free-throw line for two shots, which he converted to even the score at 62 apiece. Thompkins' last second 3-pointer in regulation bounced off the rim and the game needed overtime to decide a winner.
Four Bulldogs scored in double-figures, with Thompkins leading the way with a team-high 15 points, while Jeremy Price added 12. Ricky McPhee and Swansey pitched in 11 points apiece. Wofford's Junior Salters led all scorers with 20 points.
Georgia's next game will be Monday when the Bulldogs host Texas A&M-Corpus Christi at 7:30 p.m. at Stegeman Coliseum.