Talia Walton added 13 points for the Huskies (17-6, 9-3 Pac-12), who bounced back after a loss Friday night to No. 17 UCLA.
Davis' basket with 1:20 left gave Washington a 59-58 lead, and she made two free throws with less than 20 seconds to play to make it a three-point game.
Cassie Harberts scored 16 points to lead USC (8-15, 5-7) and she also matched a team high with eight rebounds. Ariya Crook scored 15 and Desiree Bradley added 11 points.
Washington held a 13-point lead early in the second half, but the Trojans came back to lead 51-49 with 7:40 to play. The lead went back and forth after that but Southern California lost for the fourth straight game.
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