The Germany international has underlined the importance of Tuesday's Champions League encounter, and felt the Bavarians deserved better against Mainz
The influential midfielder believes that it will be a difficult game for Bayern, but is confident that they can get a positive result at the Allianz Arena with the right attitude.
"It's all or nothing on Tuesday. We have to go to the limits and beyond, but we can do it with our fans behind us," Schweinsteiger stated to the official Bayern website.
"It won’t be easy, and it comes down to mental strength. I hope we show the mentality which marks Bayern out."
Schweinsteiger then looked back at his side's scoreless Bundesliga draw against Mainz on Saturday, and feels that Bayern should have done better.
"Mainz did well. We were good in defence and basically shut them out. We didn’t have many chances ourselves, but they were good ones. We should have taken at least one of them."
Bayern have fallen eight points behind table-toppers Borussia Dortmund in the Bundesliga table following Saturday's results with only three games remaining.