The stopper comes off contract at the end of the season.
The Guardian says West Ham are entering the tug-of-war for Adarabioyo's signature.
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Nayef Aguerd can be sold this summer, while Kurt Zouma has had physical problems. West Ham want another centre-back as Angelo Ogbonna is also coming off contract.
The Irons showed an interest in Max Kilman in January, but Wolves did not want to sell their captain.