The Frenchman insists he is not concerned by the fact his contract expires this summer, and says while the club want him to retire at Old Trafford, "it is a personal thing"
Evra, who arrived at Old Trafford from Ligue 1 giants Monaco in January 2006, is out of contract at the end of this season and has been heavily linked with a return to the principality.
New United boss David Moyes made Everton left-back Leighton Baines his No.1 transfer target this summer, and also pursued Real Madrid's Fabio Coentrao.
When asked in an interview with Telefoot whether he was concerned that his contract at Old Trafford will expire this summer, Evra replied: "No, not at all [concerned]. It is a personal thing.
"It is not that Manchester United do not want me to sign a new contract. This whole thing is personal. Manchester United would like me to finish my career there, but this is something personal."
Evra has been summoned by the French Football Federation to explain comments made in the same interview in which he described Bixente Lizarazu and his critics in France as "bums" and "parasites".