The Liverpool and Senegal winger is being linked with a move to the Bavarian giants.
Mane only has a year remaining on his contract with the Reds, which means they could cash in on him this summer if he refuses to sign a new deal.
Rumors of Mane joining Bayern were furthered by L'Equipe in France today.
Müller, a mainstay in the Bayern side, told Bild: "If every rumoured player joined us, we would have ended up with a 45-man squad every year.
"I'm going to show up in Sabener Strasse [Bayern's training ground] at the beginning of July and see who else is there."
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