1:32PM BST 17 Jun 2011
Lens are prepared to cash in on the youngster after they were relegated from Ligue 1 and United tracked the rising star's progress throughout last season.
However, Varane has said that if he does move on to one of Europe's big clubs he does not want to end up stuck on the bench and will only join United if he has a chance of featuring heavily for Sir Alex Ferguson's side.
"I know I have the choice," said Varane. "I can move abroad or I could join another club in Ligue 1 [France's top division].
"What interests me is playing regularly, so I have to think carefully and go to a club that will allow me to progress."
Competition for places in United's defence will be fierce next season, even if Varane does not sign. Ferguson has already added Blackburn's Phil Jones to a squad which includes Rio Ferdinand, Nemanja Vidic, Chris Smalling and Jonny Evans.