Rose has not played since undergoing surgery to address a torn meniscus in his right knee. The surgery was his third over the last three years.
Rose also had procedures to repair a torn anterior cruciate ligament in his left knee and the meniscus in his right knee. Last Monday, Rose reportedly took full contact at practice.
"Only he knows his body," Thibodeau said Sunday, according to Johnson. "He’s got to continue to work through it. I trust him. When he says he’s ready, he’s ready."
Over 46 games this season, Rose has averaged 18.4 points, 5.0 assists and 3.1 rebounds in 31.0 minutes per game while shooting 40.7% from the field and 28.7% from three-point range.
The Bulls (46-30) currently own the No. 3 seed in the Eastern Conference. They face the No. 2-seeded Cleveland Cavaliers on Sunday.
Chicago has six games remaining in the regular season.