The Mirror says Bilic has let it be known he'd welcome a return to the Hammers with current manager Graham Potter currently fighting for his job.
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Bilic has been contacted by West Ham intermediaries and has made it clear he'd be happy to make a return - even in a firefighting role to the end of the season.
The former Croatia coach is keen to work with football director Mark Noble and has also made contact with former Hammers defender James Collins about joining as assistant manager.
Bilic guided West Ham to a seventh-place finish in their last season at the Boleyn Ground nine years ago, qualifying for the Europa League play-offs.