0812 GMT January 29, 2020
Germany international Mueller, in sensational form this season, was left unmarked in the box to latch onto a superb Thiago Alcantara chip and tap in from close range in the 23rd minute for his ninth league goal as Bayern improved the record it had set itself in the 2012/13 season, Reuters reported.
Unbeaten Bayern, which did not need to hit top form and eased off late in the game granting Werder more space, has a maximum 27 points, seven more than second-placed Borussia Dortmund, which won 2-0 at Mainz 05 on Friday. Bayern will face Arsenal in the Champions League on Tuesday.
"We won a very difficult game," said Bayern coach Pep Guardiola, whose team is chasing a record fourth consecutive Bundesliga title. "Werder was defending deep and it made it really hard for us."
"It was difficult finding spaces, especially because we did not have wingers. But I want to congratulate my team as this win means a lot to me", he told reporters.
Bayern was missing half a dozen players, including injured wingers Franck Ribery, Arjen Robben and Kingsley Coman with Guardiola also resting winger Douglas Costa.
But it still dominated against Werder, which has now lost five consecutive Bundesliga matches.
The host had some efforts on goal and tested keeper Manuel Neuer but neither Anthony Ujah nor former Bayern striker Claudio Pizarro, who came on as a late substitute, could find the equalizer. The former German champion is stuck on seven points in 14th place.