The Manchester City winger sits in only 7.1 per cent of squads ahead of Friday's 18:30 BST deadline.
Sterling has stepped up his output recently, claiming 20 of his 27 points this season in the last two Gameweeks.
Crucially, Man City have a prolific record when facing the Hammers.
Pep Guardiola's side have scored at least four goals in each of their last four away meetings in the Premier League.
Sterling was their standout player in the corresponding fixture last season, scoring a hat-trick in a 5-0 win.
Marcus Rashford (£9.5m) and Timo Werner (£9.3m) both produced their season-high hauls of 15 and 16 points respectively in Gameweek 5.
And Bruno Fernandes (£10.5m) has contributed three goals, two assists and 29 points in his last three outings.
He can take advantage of a defence that have conceded five goals to Tottenham Hotspur and three to Chelsea.
Grealish's visitors Leeds United have conceded 53 shots in the box, more than any other team.
And Maupay has a home fixture against a West Bromwich Albion side who have conceded 13 goals and a league-high 14 big chances.