The Blues have produced two strong performances against Manchester United and Steaua Bucuresti in cup competitions over the past seven days, and they will be looking to take that form into their match with West Ham.
West Ham have been in indifferent form in the Premier League in recent weeks, but they did record a 1-0 win over Stoke City earlier this month.
If Cole is deemed unfit to start, he could be replaced by Jack Collison.
West Ham United: LLWLLW
Possible starting lineups
Chelsea: Cech; Cole, David Luiz, Cahill, Azpilicueta; Ramires, Mata, Oscar, Lampard, Hazard; Ba
West Ham United: Jaaskelainen; Reid, O'Brien, Collins, Demel; Jarvis, Taylor, Diame, Collison, O'Neil; Carroll
Sports Mole says: 2-1