Jonathan Gilling scored five points in the extra period for the Sun Devils, which allowed a six-point lead in the final minute of regulation to get away.
In overtime, with USC down by three, the Trojans' Jio Fontan missed a 3-pointer from the top of the key with 5 seconds left.
Arizona State led 82-76 with 26.8 seconds left but J.T. Terrell hit back-to-back 3-pointers and Jio Fontan hit an off-balance 3-pointer from 25 feet with 0.4 seconds remaining to force overtime.
Evan Gordon had 28 points and three assists for the Sun Devils (15-4, 4-2 Pac-12). The teams were tied at 69 with 4:40 left before Arizona State ran off eight straight points.
Fontan led the Trojans (8-12, 3-4) with 25 points and Terrell scored 20.
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