The Hammers have won just one of their last eight league games and top goalscorer Nolan will miss out after picking up a fifth booking of the season at Reading on Saturday.
Defender James Collins is also missing through suspension with injured duo Andy Carroll (knee) and Mohamed Diame (hamstring) also not in contention.
Striker Steve Morison (thigh) is doubtful after limping off in the 4-3 home defeat by Manchester City, as is captain Grant Holt (hamstring), so on-loan Tottenham forward Harry Kane could lead the attack.
Defender Steven Whittaker (hip) and winger Andrew Surman (hip) continue their rehabilitation, while England goalkeeper John Ruddy (thigh) also remains sidelined.
West Ham: Jaaskelainen, Spiegel, O'Brien, Reid, Tomkins, McCartney, Spence, Demel, Moncur, Taylor, Noble, Collison, Diarra, Lletget, Jarvis, O'Neil, Vaz Te, Maiga, Cole.
Norwich: Bunn, Garrido, Turner, Bassong, Martin, Tettey, Howson, Snodgrass, Pilkington, Hoolahan, Kane, Rudd, E Bennett, R Bennett, Barnett, Jackson, Fox, Holt, Morison.