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.
Nike Men's USC Trojans Cardinal Basketball Practice ELITE Stripe ShortsShop
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.