Origi is available from Liverpool this summer after his bit-part role with the Reds last season.
Voetbal 24 says a return to Belgium is on the table for Origi.
With Genk facing the prospect of losing star striker Paul Onuachu this summer, they see Origi as the ideal replacement.
Man mountain Onuachu is on the shopping list of West Ham and should he be sold then Genk will use the cash raised to buy Origi.
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