Emmanuel Adebayor could be out for the next three weeks after picking up a thigh injury in the Carling Cup tie at West Brom on Tuesday night
The striker lasted only 23 minutes at The Hawthorns and was replaced by Armand Traore.
Afterwards Arsène Wenger said: "It doesn't look too good. He will miss Everton and maybe more. This type of injury usually takes 21 days."