The Hammers head coach worked with Kilman during his short stint at Wolves in the Premier League.Per The Mail, the 27-year-old could now be set for a reunion with Lopetegui at the London Stadium club.
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A deal would have to be right for both parties, as Wolves are reluctant to weaken their squad.
Kilman was a regular starter last season under young coach Gary O’Neil, who took over from Lopetegui on the eve of the new season.
With West Ham set for a squad reshuffle after David Moyes’ departure, Kilman may be one of the first new arrivals.