However, they will be buoyed by their Premier League form of late and will be hoping to make it three wins out of three.
Alvaro Morata was among the goals again last weekend so the Spanish worldwide will be hoping to find the net again as he's expected to lead the line up front with Michy Batshuayi among the substitutes.
Moyes won't want to bring his star striker back too soon, especially with the Christmas period on the horizon and a busy set of matches to come, but he may be forced to play him on Saturday. However, picking up one point in four games has done little to revive the fortunes of the London side.
Chelsea are one victory away from their 50th in all competitions against West Ham.
Kick-off is at 12:30.
What TV channel is it on and can I stream it?
What is the team news?
Conte has no major injury concerns, although David Luiz, Kenedy and Charly Musonda are all unlikely to feature.
What are the odds? We're in a results business now where you have to win games and we haven't done that.
According to reports, West Ham are hoping that Adrian will sign a new contract with the club and are reportedly planning to start the Spain global for their Premier League game against Chelsea.
Eden Hazard has been directly involved in seven goals in his last eight Premier League games against the Hammers.
Alvaro Morata has been involved in 13 goals for Chelsea in his first 14 Premier League appearances, scoring nine goals and supplying four assists.