Detroit ended a five-game losing streak against Chicago with a 116-109 victory.
Wallace sat out his second straight game with a sprained left ankle, while Duhon was disciplined for missing a team workout Sunday morning in Auburn Hills.
"Chris did miss shootaround this morning," confirmed Bulls coach Jim Boylan. "He will be in uniform, but I will not play him."
During Sunday's telecast, it was revealed that Duhon had not received permission to attend Saturday's college basketball game between his alma mater, Duke, and North Carolina. He reportedly slept through the morning shootaround.
Boylan learned Duhon was at the game when he saw him on camera during Saturday's telecast.
The Bulls were also missing reserve guard Thabo Sefolosha for the sixth straight game due to a groin strain, but forward Tyrus Thomas returned after a two-game suspension for missing a practice earlier in the week.
Information from The Associated Press was used in this report.