The Germany international admits he is flattered to be linked with a move to Camp Nou, but insists he is happy with life at Bayern.
"I have not been in touch with Barcelona," Muller told Sky Deutschland.
"I do not have to feel ashamed being linked to club like Barcelona. But there was nothing in between me and that club.
"Everyone who knows me is aware Bayern Munich is deep down in my heart.
"I have the desire to stay a player of Bayern Munich for a very long period of time."
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