The German defender will be out of contract next summer and is yet to extend his contract with Chelsea.
He has become a crucial member of Tuchel’s XI and enjoyed a brillaint start to the new Premier League season.
“Of course [Bayern’s interest] honours me and proves that I’ve been doing things right,’ Rudiger told the media.
“But I don’t let myself be distracted. I have an obligation to my club to perform well. I have to prove myself every game and not let myself be distracted by rumours.
“I make my decisions for myself. They don’t depend on anyone. I feel good where I am.”
Last month Bayern boss Julian Nagelsmann has expressed his admiration for the German defender.
“I’m talking about him now as a football fan because he is a German senior international. He has made a super development.
“Thomas [Tuchel] has handled him extremely well – he was still on the sidelines at Chelsea a year ago and is now certainly one of their most decisive players.
“He has incredibly good aggression and is a very good defender. I haven’t spoken to Brazzo [Hasan Salihamidzic – Bayern Munich sporting director] about it and if I did, I wouldn’t tell you either!
“I just read that in the media as well. I’ll have to see when the contract expires and then I’ll see if I still have money in my wallet!”
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