Teddy Sheringham and Ryan Giggs both played until their 40's, and Van Persie is also aiming for Russia 2018.
As well as giving his verdict on the new signings brought into Old Trafford in what has been a pretty busy transfer window at the club, the 31-year-old thinks he has many more years at the top yet, and wants to win more than the solitary Premier League title he has to his name at United so far.
He said: "I want to go to the World Cup when I am 35, and play professional football until I am 40."
Van Persie has scored 48 goals from 78 games for Manchester United so far, but has failed to get on the scoresheet in the opening three games of the season as they get used to life under new manager Louis van Gaal.
The Dutchman has been phased back into the side following the World Cup where Netherlands finished in third place in Brazil so it was unlikely for him to show his best form right at the start of the season.
If he were to play until into his 40's, he would emulate former Manchester United star Teddy Sheringham, and current United assistant manager Ryan Giggs.
A lot of Van Persie's game is based on good movement, playing off the shoulder of the last defender and good lin-up play. Though pace may not be the biggest part of his game, there is inevitably going to be a slowdown and he would play fewer games.
Combined with wanting to be part of a Netherlands side at the next World Cup in Russia in 2018, it would be something of a big ask to still be part of a top side when edging close to 40.
But there is still a hunger to be a success at international level, and to collect more silverware for his club. That hunger could be a key factor in him prolonging his career.