The Sun reports that United boss Sir Alex Ferguson is hoping to complete a £22million deal before the Premier League starts this weekend.
Van Persie is desperate for a move to Old Trafford to be completed.
Arsenal were demanding £25million for the striker, but are now prepared to settle for less.
Van Persie scored 37 goals in all competitions for Arsenal last season.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.