The Germany international will miss the weekend clash with Schalke after picking up the injury against Hannover, but Ribery and Xherdan Shaqiri are close to comebacks.
The Germany international scored twice as Bayern cruised to a 4-0 win over Hannover over the weekend, but picked up a problem in his right leg later in the match.
After further tests Monday, the club has confirmed on its website that Muller has been ordered to rest for the next five days, meaning he will definitely miss the meeting with Schalke at the Allianz Arena and could potentially be a doubt for the game with Wolfsburg on March 8.
Meanwhile, Bayern has received better news on the injury front as Franck Ribery and Xherdan Shaqiri close in on returns to first-team action.
Ribery, who underwent surgery on a buttock problem earlier this month, resumed high-intensity sprint training Monday under the scrutiny of the club's physios.
Shaqiri, meanwhile, is set to return to training this week after suffering a torn muscle against Freiburg.