Manchester United have been linked with the Real Madrid defender as Mourinho is hoping to bolster is defensive ranks at the end of the season.
Barcelona’s Samuel Umtiti and Varane are thought to be the two of United’s main targets heading into the next window.
The Red Devils are expected to spend big once again as they try to close the gap on league leaders Manchester City.
And Varane has revealed that he has received an in-direct approach about a potential move to Old Trafford.
Speaking to Spanish newspaper AS Varane said: “No, not directly.
“There were contacts [with Mourinho], but not directly.”
Varane also took questions on who is the toughest striker that he has ever faced.
Lionel Messi and Didier Drogba were two of the names thrown at him, but he opted for United’s Romelu Lukaku.
“I feel more comfortable with fast players because I try to control the depth well, the back,” he added.
“For my qualities is what I prefer. When it is stronger I try to pass in front, that I can not play.
“Like Lukaku, for example. He is the strongest forward in the world.
“It is pure power. You have to play differently.
“I try to be more complete to annoy any striker.”