Drexel battled back after Old Dominion built its lead to six points, cutting the margin to two points with 12 seconds left.
Old Dominion held a 15-point lead with 12:45 remaining in regulation but Drexel put together a 20-4 run that gave the Dragons the lead at 49-48 with 3:17 left.
Brandon Johnson hit a 3-pointer with 0.8 second left in regulation to tie the score at 54-54 and send the game into overtime.
In the first overtime, Drexel led 59-60 with 1:01 remaining but a free throw by Lee tied the score 60-60 and forced the second overtime.
Johnson finished with seven points and five steals. Frank Hassell and Brian Henderson each scored 10 points for Old Dominion (13-13, 8-6 Colonial Athletic Association).
Tramayne Hawthorne led Drexel (10-16, 3-11 CAA) with 21 points. Scott Rodgers added 13 points and Frank Elegar scored 12 points.
