Jarreau and the Huskies (17-13, 9-8 Pac-12) combined to make 17 consecutive free throws over the final 17:40, following five consecutive misses to start the game.
Andrew Andrews scored five of his seven points in the final 2:07. Suggs scored 11 of his 18 points after halftime, making 8 of 13 shots for the game.
Washington won its third straight game after losing eight of its previous 10.
Dewayne Dedmon had 18 points for USC, which was leading 41-39 when he collected his fourth foul and came out of the game with 11:51 remaining. Washington went on to score nine unanswered points and never trailed again.
The Trojans (14-16, 9-8) shot just 37.5 percent from the field for the game.