However, the Daily Mail says West Ham's top brass are split after being offered a cut-price deal to sign Depay.
Co-owner David Sullivan is understood to be willing to press ahead with a deal, but manager David Moyes feels they can pursue better options.
Depay is being offered across Europe due to Barcelona's desperation to offload players to reduce their wage bill.
Barca had hoped to secure a fee for Depay but with no club matching their valuation of a player who earns over £200,000 per week, they have indicated they are willing to release him.
Juventus are also in talks about signing the Dutchman.