Should the club survive relegation, they are expected to see the squad overhauled and trimmed down after a high-spending season.
Arthur Masuaku has already had his departure confirmed after Besiktas activated the left-back's option-to-buy in his loan deal.
Football Insider also claims that four more of West Ham's players could depart in the summer, including Czech duo Vladimir Coufal and Tomas Soucek.
Coufal's deal is up in the summer, but West Ham do have an option to extend it, while talks on a new contract for Soucek have reportedly stalled, with the midfielder's contract set to expire in 2024.
Long-serving defender Aaron Cresswell could be another of the players to leave with his contract also expiring at the end of the current season.
Pablo Fornals is the other member of the squad who could move on, as minutes in the Premier League have been hard to come by for the Spaniard, who has featured mainly in the Europa Conference League for the Hammers this season.