The Bianconeri are being linked with the Croatia international.
"I have spoken personally with Mario and I know that he will stay with Bayern Munich," Bayern chairman Karl-Heinz Rummenigge told Bild.
"Mario is a very important player for us and has a contract until 2016.
"Lewandowski? We're glad he's coming, but at the same time, we're happy that Mandzukic will stay."
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