The former England player has been sidelined with a knee problem since the goalless draw against Birmingham at Villa Park in late October.
Boss Gerard Houllier has confirmed Heskey will play some part against the Baggies.
Winger Ashley Young is available after missing the 3-0 defeat at Liverpool on Monday through suspension but midfielder Ciaran Clark is banned after collecting his fifth yellow card of the campaign against the Reds.
Source: PA
Source: PA