Emeka Okafor's 15 points and 16 rebounds helped decide a low-scoring game, backed up by Nene (16) and John Wall (15). For Chicago, only Nate Robinson (19) reached double figures.
Fellow South-East Division strugglers the Charlotte Bobcats also picked up their 11th win of the season, Gerald Henderson's late three-pointer edging them past division leaders the Miami Heat 102-101 as Kemba Walker scored 25 points.
The Cleveland Cavaliers, another team in form after a dismal start to the campaign, won their fourth game in five by beating the Toronto Raptors 99-98.
Kyrie Irving was the key player with 32 points, including the crucial last-second three-pointer.