Since moving to Stamford Bridge in 2016, Batshuayi has never been regarded as first choice, with his eight Premier League goals coming from five starts and 43 substitute appearances.
Although the Belgium international has remained a part of Frank Lampard's squad this season, the 26-year-old has netted just once in all competitions since October 30.
Aware that Batshuayi has just over a year left on his contract, HLN claims that West Ham United are keen to do a deal with their London rivals.
However, given the financial implications of the coronavirus pandemic, the report adds that Chelsea must be willing to lower their alleged valuation of £40m.
While contracted to the Blues, Batshuayi has also spent loan periods at Borussia Dortmund, Valencia and Crystal Palace respectively, scoring 18 goals from 50 outings.