The striker was unable to train on Thursday due to illness, leaving head coach Steve Clarke facing an anxious wait to see if the 25-year-old recovers in time for the game in the Welsh capital.
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Anichebe's possible absence is offset by the news Nicolas Anelka is available again after recovering from a groin injury that has sidelined the former France international forward since the end of last month.
Anelka is still awaiting his first goal since joining West Brom in July on a free transfer.
Goalkeeper Ben Foster has returned to full training following a broken foot, sustained in the goalless draw against Everton at the end of August, but the game in Cardiff will come too soon.