The full-back is expected to sign for the Hammers on a temporary basis for a fee of £460,000 and the Hammers will be able to sign the player permanently for £5m, should they want Santon to stay.
West Ham's regular left-back Aaron Cressell suffered a knee injury during pre-season and will be out of action for four months, meaning that the Hammers were desperate to sign a new left-sided defender.
Slaven Bilic's side made bids for Hull's Andy Robertson and Norwich's Martin Olsson, but offers for both players were rejected.
It now looks like Santon will be the man to fill the void left by Cresswell provided he passes a medical.