The Trail Blazers bounced back from the tough Houston loss, winning the first game of their long road trip, 103-95 at Chicago on Saturday.
Damian Lillard had 26 points and Mason Plumlee added 16 points and nine rebounds.
C.J. McCollum had a bad night shooting the ball 1 of 12, scoring six points. But, fellow guards Gerald Henderson (13 points) and Allen Crabbe (11 points) picked up the slack.
The Blazers went 22 of 27 at the free-throw line, with Plumlee going 10-for-13 and Lillard 7-for-7.
Portland, which lost after a 35-point swing against Houston, moved to 31-28 and 12-16 on the road. The Bulls (30-28) were playing without starting point guard Derrick Rose.
Portland plays at Indiana, 3 p.m. Sunday, in the second game of the six-game road trip.