Rose admitted he won't be 100 percent for the rest of the season. The last time he tried to play was when he was warming up before the Bulls' game in Memphis on Jan. 16.
Meanwhile, Luol Deng sat out Monday with a left wrist injury. He was at the doctor Monday morning getting the results of his MRI.
"I don't think he'll need surgery, but there are more doctors he has to talk to," Thibodeau said. "I'm going to honor his request, and we'll leave it at that."
Thibodeau did say Deng is feeling better Monday than he did Sunday.
"Basically, it's an injured wrist," Thibodeau said. "He's gone down this road with an injured wrist. My guess is that it will be day-to-day."
Ronnie Brewer started in place of Deng.
Thibodeau said Taj Gibson won't play as he nurses an ankle injury.
"Hopefully [I'll play] by the end of the week, or in the next couple of days," Gibson said. "Knowing me, I just want to get out there. The best thing is make sure it's not a lingering injury."
The Bulls own the best record in the league at 16-3, but Thibodeau isn't worried about the injury situation having a major impact.
"Actually it's not that difficult because of the depth of the team," he said. "Our second unit plays a lot, so if there's an injury, the next guy steps up and we go from there. We got 14 guys on the roster that can all play."
Nick Friedell covers the Bulls for ESPNChicago.com.