The Sunday People says West Ham are looking at the Republic of Ireland international to bolster their squad, following a backlash over their own transfer business so far this window.
No potential fee has been cited.
Hammers boss David Moyes brought Coleman to Goodison Park for just £60,000 but he will have to fork over a lot more than that to convince his old club to part with the defender.
Blues manager Carlo Ancelotti thinks very highly of Coleman and has described him as one of the best captains he has worked with.
He's previously said: “I've had a lot of captains in my career but how Seamus expresses his love for the shirt is really top. He is a great captain, honestly. I don't want to forget anyone [I have worked with] but he is up there as a captain with Maldini, John Terry and Sergio Ramos."