Marko Arnautovic will have a medical and discuss personal terms in the coming days ahead of his club-record move to West Ham, according to Sky sources.
The Hammers are hoping a deal can be completed in time for the 28-year-old winger to fly out with the rest of the squad on Monday for the pre-season tour of Germany.
West Ham agreed a £24m fee with Stoke for Arnautovic on Tuesday, having previously failed with two earlier bids.