The Netherlands international, 29, joined United from Arsenal for £24m last August, signing a four-year deal. He is second in the Premier League scoring charts behind Luis Suarez but his 19 goals have helped United to a 15-point lead with eight games to play.
"For the next few years I will be at Man United - maybe longer," Van Persie said. "United could be my last club." Van Persie scored 37 goals in his final season with Arsenal and the extra firepower he has provided to United's frontline is seen by many observers as a significant factor behind their commanding league position.
He has revelled in a United squad featuring 39-year-old Ryan Giggs and another player who has spent his entire senior career at Old Trafford, 38-year-old Paul Scholes.