The Welshman has struggled for playing time since joining on loan from Real Madrid last summer.
But after scoring and assisting in the win over Wolfsberger, Bale could get a run of games for the north London outfit.
Asked if Bale could face the Hammers, Mourinho said: "I know that the match is already Sunday at 12pm but I believe that he has a chance to play the match and let's wait.
"He's the kind of player also, who is experienced and his feeling are a very important thing, like Harry Kane. I believe for him it was important to play and not to play the full 90 minutes."