According to Italian journalist Fabrizio Romano, the Frenchman is now signing his United contract after completing the final part of his medical checks on Wednesday.
The ex-Real Madrid man had the first part of his medical on Tuesday after arriving at United’s training ground in the back of a black Mercedes van.
United boss Ole Gunnar Solskjaer had been desperate to add to his defensive ranks this summer and identified the World Cup winner as a top target to play alongside captain Harry Maguire for the coming campaign.
Solskjaer’s side need to successfully register the 28-year-old by Friday evening, so he can be cleared to play against Leeds United at Old Trafford on Saturday.
Reports claim that Varane wants to start training immediately on Wednesday with his new teammates in a bid to stake his claim for a starting role against Leeds.
Though manager Solskjaer has already suggested the newcomer will have to make do with a place on the substitutes bench.