Slaven Bilic is desperate to strengthen his forward line at the end of the season.
And having been pipped to the 23-year-old by Chelsea last summer, a fresh approach is being considered.
West Ham enquired about the possibility of taking Batshuayi on loan in January but were turned away by the Blues.
However, according to the Daily Mail, Chelsea could now opt for a one-year deal, with that preferred to a permanent sale.
Michy Batshuayi could leave Chelsea for West Ham this summer either on loan or permanently
Batshuayi was offered better wages at Stamford Bridge and chose Chelsea
Antonio Conte spent £33million to sign the Belgium international from Marseille, hijacking West Ham's transfer after the east London club had a £31m bid accepted.
Batshuayi was offered better wages at Stamford Bridge and chose Chelsea, however, he has struggled for game time.
Diego Costa's stunning form and the ex-Ligue 1 star's difficulties in adapting to Premier League life has seen him only make substitute appearances so far.
Premier League summer transfer XI
Tue, March 14, 2017
Click through the gallery for a team of Premier League stars linked with huge moves this summer
Get Quotes on Home Insurance
1 of 17
Click to reveal a line-up of Premier League superstars linked with transfers
West Ham remain interested and may offer Batshuayi an escape route.
Although, a number of striking options are already being linked with the Hammers, including Liverpool's Daniel Sturridge, Sunderland's Jermain Defoe and even Manchester United's Wayne Rooney.
Meanwhile, Chelsea are set to strengthen in attack too ahead of a return to Champions League action, with Everton's Romelu Lukaku high on their agenda.