The Germany international spoke to the club's official website after goals from Thiago Alcantara and Leon Goretzka gave Bayern a victory which took them within two points of Borussia Dortmund.
"Mainz often make life difficult for you at home, you saw that today. We still had considerably more chances.
''We can live with the result. It's not as if the league and the matches were walkovers for us at the moment.
''But we were dominant and should have extended the lead in the first half. After the break we were asleep during a throw-in but we bounced back well.
''We wanted to win here by more than just one goal, but we're not in a position to complain about victories at the moment."