Todd Boehly's consortium is to be named the preferred bidder to buy the club.
It was revealed on Friday that Sir Jim Ratcliffe, Britain's richest man, had tabled a last-minute bid to buy the west London club.
The group headed by LA Dodgers part-owner Boehly is in the lead with regard to the takeover.
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The consortium led by Stephen Pagliuca is not the preferred bidder.
By the end of May, they hope to have a new owner in place.
The government must grant a new licence to allow the sale to be completed once the Raine Group selects a preferred bidder.
On March 2, the day after the invasion of Ukraine, Abramovich put the club up for sale.
The UK government imposed sanctions on the Russian billionaire on March 10, claiming to have proof of his links to Putin.
The club has won 21 trophies under the ownership ofAbramovich.