WATCH: Lewy makes more history as Bayern batters Schalke

The reigning champion capitalised on RB Leipzig's shock defeat at Mainz by seeing off Schalke, the division's bottom side, at the Veltins-Arena on Monday (AEDT).

Thomas Muller scored either side of Robert Lewandowski's record-breaking goal - netting in an eighth successive away league match - before David Alaba got in on the act in the final minute.

Bayern did not have things all its own way in the first half, though, with Manuel Neuer reacting well to keep out Mark Uth's header from the best of Schalke's opportunities.

Flick is pleased his side have rediscovered their form with three wins in a row since suffering back-to-back losses earlier this month, but he acknowledged there is still more to come.

"I'm not entirely happy with what we showed," he said. "We scored four goals, but we should have done better, especially with the way we positioned ourselves.

"However, I am very satisfied with the nine points with have obtained from the last three games. After defeats to Holstein Kiel [in the DFB-Pokal] and Monchengladbach, it was important to find stability.

"We now have a certain cushion, but it is still important that we approach every game the way we have approached the last few games, that we perform 100 per cent. 

"We're going to take two days off now. This is important to clear your head from time to time. From Wednesday, we will then prepare intensively for Hoffenheim."

Bayern has now kept clean sheets in successive league games for the first time this term, with Neuer making three saves in total - all in the first half.

Neuer's 197th shutout is a new Bundesliga record, surpassing Bayern great Oliver Kahn, but it was bittersweet coming against his beleaguered boyhood club.

Schalke is bottom of the division with one win from 18 games but Neuer is hopeful it can avoid the drop.

"Obviously, it's difficult for them against teams like us," he said. "I think that they have to beat two or three clubs that are in the lower half of the table, one after the other.

"I wish the Schalke players luck that they can stay in the league and that they can still turn the tide. Of course, I'll keep my fingers crossed for that."

Of his own team's display, which saw Bayern register a season-high 31 shots, Neuer said: "We improved and still had one or two more scoring chances. 

"We certainly would have signed for a 4-0 win beforehand."

Meanwhile, Muller's double took him to nine goals in 18 Bundesliga games this season, already beating his tally from the entirety of 2019-20.

The forward, who scored a clinical header in each half, echoed the thoughts of Flick in saying his side were slightly flattered by the margin of the scoreline.

"We neglected some aspects of our game," Muller said. "We besieged the opposing goal in the first half, played a few chances well, but the last action was missing.

"Overall, you noticed that when we increased the pace and played our game, we were always able to get ourselves into good final positions. 

"We have won all three games this week and made a giant leap forward in the table. That is what counts."