Mark Noble, James Collins and Guy Demel are set to join the squad for the match at Burnley this weekend with Ricardo Vaz Te also set to travel.
The club have now confirmed that the Noble is back in full training with a trip to Turf Moor firmly in his sights.
Carl Jenkinson may also after sitting out the England under 21 clash with Croatia last week due to a tight hamstring.
The likes of Kevin Nolan and Matt Jarvis are both now fully fit too, giving their manager a selection headache.
Andy Carroll and Cheikhou Kouyate are now the only absentees from the Hammers squad that sit seventh in the Premier League and will fancy their chances at Burnley come three o’clock on Saturday.