"We were in the red zone" coach Thomas Tuchel said. "Compliments to the players. That was a real tour de force in the second-half."

Playing a second straight time without the flu-hit midfield duo of Leon Goretzka and Joshua Kimmich, Bayern rushed out to a 2-0 lead but were pegged back before half-time by a Max Arnold stunner.

The German champions dug in throughout the second-half against a dogged Wolfsburg side coached by former Bayern mentor Niko Kovac, but held on to claim a valuable three points in what is emerging as a true two-horse title race.

"They're a great team, they've got a great coach" Kane said of Leverkusen after the game, but told reporters "we can't control their game, all we can do is keep pushing them."

"We're not even half-way through the season yet, so we can't focus on them too much."