The Daily Mail says he is available for £8million with the 29-year-old keen on a move to the Premier League.
The Hammers have made soundings to his camp in recent days.
Last week his agent revealed that Valbuena is considering leaving Marseille after the World Cup with France's concludes.
"He has a contract with Marseille and they are not a small club, they are a big club in France," Jean-Pierre Bernes told Europe 1.
"But it is true that given his performances, and if there is the opportunity with a club, it is something we will examine and Marseille as well.
"Nothing is set, there is no destination fixed, there are contact with certain clubs in different European leagues."
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