The attacking midfielder flagged up the improved fortunes of Scottish teams both at club and national level as reasons to be wary.
"I must mention that Aberdeen are very strong at home and you should never underestimate a team like Aberdeen," said Schweinsteiger. "I have never played against Scotland but I did see Scotland did really well in their Euro 2008 qualifying group and just missed out.
"We have played other teams in the Uefa Cup this season and everyone thought we can win 6-0 and we had hard games and won 1-0 or so."
His sentiments were echoed by Bayern boss Ottmar Hitzfield: "Look what happened against Copenhagen, Aberdeen were absolutely excellent."
Hitzfield added: "I think some players had this game on their mind when they played Celtic. They will try to put a lot of pace in the game. We have to aim to keep the ball, set our own pace and dictate the play."