United have failed with two bid for Fabregas so far this summer, but reports suggest they could make a third and final offer for the midfielder later this week.
But Fabregas insists he does not want to return to England just two years after leaving Arsenal.
“I have never said that I could go, nor have I talked to the president or the coach about it,” he told TVE show Esport Club.
“What I don’t know is how this can be said to be true just because some journalist wrote it on Twitter.
“My dream is to stay here and succeed.”
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?