Prince, who has already missed 26 games with a back injury, injured his knee in Saturday's loss to the Philadelphia 76ers.
Prince is averaging 8.9 points and 3.8 rebounds in nine games this season.
Detroit guard Rodney Stuckey was in the starting lineup Monday after missing the second half against Philadelphia on Saturday with a sore right knee. Ben Gordon was also listed on the active roster for Monday's game after injuring his thigh on Saturday.
The Pistons will try to avoid its 13th straight loss against the Bulls on Monday.