The Scot wants to reinvigorate the east London club this summer and push for a top half of the table finish next year, with half-an-eye on the Europa League places.
To achieve that, Moyes wants the Hammers to land Jonny Evans, 31, who will be available for £3m when the Baggies are relegated, and Craig Dawson, 27.
The Hammers defence were undone by Arsenal at the Emirates this afternoon, losing 4 – 1 after conceding three times in the final fifteen minutes. Moyes is concerned that despite his West Ham side being clear of relegation, only Stoke City have conceded more goals (65) than the Hammers (63) this season.
West Brom with Evans and Dawson at the heart of their defence are almost 10 goals better off than West Ham, pointing to where most of the problems lie at the London Stadium this season.
After two years of being chased by Arsenal and Manchester City, Evans finds himself a target for West Ham and Everton with neither of the Premier League giants indicating they will renew their interest.
Dawson, believed to be available at £5m, may be harder to purchase with the player yet to comment on whether he will leave the Hawthorns this summer.