The Germany international has been touted as a possible target for the Red Devils in recent weeks as Louis van Gaal looks to bolster his squad ahead of his second season in charge at Old Trafford.
Speculation in recent days has claimed that United have put together a big-money deal to try and tempt him to the Premier League.
However, despite admitting being flattered by the interest, Muller says he has no intention of leaving Bayern Munich in the near future.
Asked about a move to United, Muller is quoted as saying by Metro: “When a request comes, automatically you deal with it.
“And a request from a big club is an honour and a reward that one’s performance is good.
“But I feel well at Bayern, and my contract runs until 2019. I will not say any more about the speculations.”
The 25-year-old World Cup winner scored 13 goals and made 10 assists in the Bundesliga for Pep Guardiola’s side last season.
He also scored seven times in the Champions league, setting up his team-mates on three occasions in Europe’s elite club competition.
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