BILD says United are watching the Austria international, who has been a regular at fullback with Bayern.
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Laimer has made 17 competitive appearances for the German giants this season.
He is versatile, but stresses that he prefers to play in midfield: "It doesn't matter where I play. I feel most comfortable in midfield, that's where I can best give my qualities to the team.
"But I also like playing right back. I don't care where I play, the most important thing is that I play."
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