Thomas Muller has committed his long-term future at Bayern Munich
The German World Cup winner has been heavily linked with a move to United since the arrival of Louis van Gaal as boss last year.
But any hope that the Red Devils had of signing the 26-year-old has taken a blow with the news that he has put pen to paper on fresh terms.
Muller said after signing the deal: "I have a feeling and am convinced that Bayern will be very successful in the coming years.
"I am proud and happy that I have extended my contract."
Bayern team-mates Javi Martinez and Jerome Boateng have also signed contracts of the same length, while Xabi Alonso has extended his stay at the Allianz Arena until 2017.
"We are pleased that these important players have long-term commitment," said Bayern chairman Karl-Heinz Rummenigge.
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"Thomas, Jerome and Javi know how to win titles, the Champions League. With them, our team gets in the long term quality and stability."
And on Alonso's decision to stay, deputy chairman Jan- Christian Dreesen added: "I'm very pleased that Xabi still stays with us for at least one and a half years more.
"He has experience as a world champion, a Champions League winners an important part of the FC Bayern squad. We have done good and harmonious talks this week."