Hicks twice aggravated his left elbow injury in a loss to the Packers on Dec. 15, then sat out Chicago's loss to Kansas City last Sunday. Goldman suffered his concussion last Sunday.
The Bears also ruled out receiver Taylor Gabriel (concussion), who hasn't played since Nov. 24. He also suffered a concussion in September. Cornerback Prince Amukamara (hamstring) was listed as questionable. Offensive tackle Bobby Massie (ankle) and guard Rashaad Coward (knee) were listed as doubtful.
The Vikings ruled out running back Dalvin Cook (shoulder) for Sunday.
Kickoff between the Bears (7-8) and Vikings (10-5) comes at noon Sunday from U.S. Bank Stadium.