Rodgers led three fourth-quarter scoring drives, receiver Christian Watson took an end-around 46 yards for a touchdown in the closing minutes after Jaire Alexander intercepted Justin Fields, and Green Bay rallied to beat Chicago 28-19 on Sunday.
The Packers have their bye the following week, and LaFleur said that could also factor into whether they hold out Rodgers to give him more time to heal.
Bears linebacker Roquan Smith said in a written statement that he has requested a trade after contract negotiations between himself and the organization reached an impasse.