Bilic has been in contact with intermediaries for the London club and has expressed his willingness to join, even if it's a temporary role until the end of the season.
He has also reached out to Mark Noble, West Ham's football director, and James Collins, a former defender for the team, to discuss potential assistant manager positions.
Bilic led West Ham to a seventh-place finish in the 2013-2014 season, securing a spot in the Europa League play-offs.