The Hammers are preparing to sell Declan Rice to Arsenal for over £100m and David Moyes is claimed to want two new midfielders.
Juventus midfielder Zakaria is a player that West Ham want and talks are taking place to make the deal happen.
Intermediaries are now hard at work on the deal and an agreement is drawing closer, according to Italian outlet Calciomercato.com.
Juventus are looking to bank in the region of €18m to €20m from selling Zakaria to West Ham.
With the clubs getting closer in their respective valuations, a deal for Zakaria to move to the London Stadium may not be far off.
Juventus could be willing to get up to their asking price with the use of bonuses.
Zakaria spent last season away from Juventus on loan at Chelsea, but struggled to record regular game time at Stamford Bridge.
In addition to England and Italy, the 26-year-old has also played in Switzerland and Germany.