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.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?