Dorrans is fit, but may not play due to what manager Roberto Di Matteo calls "personal reasons".
Midfielder James Morrison is suspended after being sent off in the defeat at Anfield, but Jerome Thomas may return after recovering from a foot injury.
Defender Joe Mattock (foot), striker Ishmael Miller (thigh) and defender Marek Cech (foot) will also miss the match.
Former Wigan midfielder Paul Scharner could be in line for his Baggies debut after playing an hour of a reserve team match on Tuesday.
West Brom (from): Carson, Olsson, Ibanez, Barnes, Bednar, Brunt, Reid, Myhill, Fortune, Wood, Moore, Dorrans, Daniels, Shorey, Scharner, Mulumbu, Zuiverloon, Meite, Thomas, Tchoyi, Odemwingie, Mantom, Thorne, Tamas, Cox, Downing, Sawyers, Jara, Allsop, Kiely.