Belgium global Batshuayi scored 10 goals for the Blues last season before a loan move to German side Borussia Dortmund, where he managed nine goals in 14 appearances.
The 23-year-old spent last season on loan at Stoke but was unable to save them from relegation to the Sky Bet Championship. With his prospects unlikely to improve much at Chelsea this season, a move away from the Bridge makes sense.
Jose Mourinho has made no secret of his frustration at United's transfer business this summer as Brazilian midfielder Fred has been the only significant addition so far with Lee Grant arriving as a third-choice goalkeeper while Diogo Dalot is a young full-back for the future. Manchester United need a defensive upgrade on the likes of Chris Smalling and Phil Jones and Zouma is certainly that.
Zouma will become Marco Silva's seventh signing this summer.
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But, the Manchester United boss has only been met with disappointment in his bid to sign a centre-back, the latest coming in the form of Diego Godin's reported rejection. He was, in his defence, one of their better players.
Zouma was signed by Mourinho in 2014 when he was the manager of the London based outfit.
Everton were linked with a last-gasp deadline day loan swoop for the promising Chelsea starlet and it seems that the deal is expected to go through.
The Toffees significantly bolstered their squad on transfer deadline day with the arrivals of Bernard, Andre Gomes and Yerry Mina, but their business is not yet done, with a temporary move for Zouma in the pipeline.