The Hammers are interested in replenishing their forward line this summer after securing a deal to sign defender Nayef Aguerd from Rennes.
West Ham have a serious interest in Chelsea striker Armando Broja and are expected to table a bid worth £30m soon to test the waters with the Blues.
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David Moyes is also renowned for unearthing gems from the Championship, such as Jarrod Bowen, and West Ham have been linked with a move for Lewis-Potter.
But it has been claimed that the Hammers are yet to seriously pursue the winger’s signature this summer.
The 21-year-old scored 12 times in the Championship last season and has emerged on the radar of a few clubs in the Premier League.
West Ham have their eyes on him but for the moment, they have not made a concrete move to sign him.
His name could come up for discussions later in the window if they manage to move on Nikola Vlasic this summer.