The clubs held talks on Tuesday night and the Old Trafford side is now set to make an improved bid as it look to reach an agreement with the Gunners.
Arsenal wants at least 20 million pounds for its captain but United has until now been reluctant to offer more than 15m pounds for a player who is 29 and has just one year remaining on his contract.
The new offer is likely to be close to Arsenal’s asking price once add-ons are included as the two clubs attempt to reach an agreement and draw a conclusion to the summer saga.
United is firmly in pole position to sign Van Persie and could even complete a move for the Dutch striker before its Premier League opener against Everton next Monday.
Goal.com revealed last week that the demand of Van Persie's agent, Kees Vos, for a 4m pound cut in the deal has threatened to scupper his chances of a move to Old Trafford.
Manchester City had previously been favored to land last season's double player of the year, but has put its interest on hold due to the finances involved and the difficulty in selling Emmanuel Adebayor, Edin Dzeko and Roque Santa Cruz.
Juventus is also out of the running for the former Feyenoord man, leaving United with a clear run despite Arsenal's reluctance to sell its star player to a Premier League rival.
The Gunners, however, appear to have concluded that they would rather sell Van Persie than keep an unhappy player in the squad who can leave on a free transfer next summer.
Van Persie, who is currently in Belgium on international duty with the Netherlands squad, has publicly announced that he will not sign a new Arsenal contract.
Sir Alex Ferguson was unsure when asked last week about United’s chances of landing the man who was the Premier League's top scorer last term with 30 goals.
"We have made a bid and they've [Arsenal] been trying to negotiate with other clubs," said Ferguson. "I don't have a gut feeling on it at the moment, I must admit.
"We're not getting any breakthrough with Arsenal. It's difficult to say why they're operating this way. I don't know what their thoughts are, because they're not giving anything away."
But Van Persie now looks likely to complete a switch to Old Trafford where he will join new signings Nick Powell, Shinji Kagawa and Angelo Henriquez, who will complete a 4m pound move to the club after undergoing a medical.
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