Reports in Nigeria claim the Hammers will make a £1 million move for the defender during the January transfer window, perhaps as a replacement for Winston Reid.
Manager Sam Allardyce is said to be looking for defensive replacements, as the future of New Zealand defender Winston Reid is still unknown; he is yet to sign a new contract at the club and can leave on a free transfer during the summer.
That has led to reports of a move for Egwuekwe, who is highly thought of in Nigeria and available relatively cheaply.
"Offers are coming from overseas. I have an offer from an Premier League club, the [English] Championship and from Russia,” Egwuekwe is quoted as saying.
"I am still a Warri Wolves, but at the end of this month, I hope to say bye bye to Warri Wolves."
West Ham have already signed Canadian defender Doneii Henry and may be looking to add more signings during the January transfer window if these latest reports are to be believed.
The Hammers are currently seventh in the table and just four points away from the Champions League places and will be keen to continue their good form into the second half of the season.