The Argentina international will have a medical on Tuesday and then thrash out personal terms before signing for the Red Devils.
With talks between the two sides having accelerated in the last 24 hours, Di Maria has now arrived in Manchester and is expected to agree personal terms and complete a medical on Tuesday.
Goal understands that Louis van Gaal's side will offer Di Maria a wage packet that will eclipse Wayne Rooney's €360,000-per-week deal, including the Argentine's €6m signing-on fee and additional bonuses.
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United will pay Madrid a British record fee in the region of €81m, including add-ons, for the former Benfica star, surpassing the €63m that Chelsea shelled out to Liverpool to take Fernando Torres to Stamford Bridge in 2011.
Di Maria will add to the signings of Athletic Bilbao midfielder Ander Herrera, Luke Shaw and Argentina international defender Marcos Rojo, who joined from Sporting Lisbon earlier in August.
The deal for Di Maria, including bonuses, salary package and various other add-ons and bonuses, could surpass the €188m mark.
The 26-year-old, who fell down the pecking order at Madrid following the summer arrivals of Toni Kroos and James Rodriguez, could go straight into the United squad for the Premier League meeting with Burnley on Saturday.