Kompany has been out of action since suffering a thigh injury during the first half of City's 3-1 win over Everton on October 5, with further setbacks resulting in a lengthier spell on the sidelines than initially anticipated.
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|9/1||Vincent Kompany is 9/1 with BetVictor to score anytime against West Brom|
"We'll see [if Kompany is available]," Pellegrini said after the Swansea match. "He worked normally for the last three days with the whole squad.
"I think maybe he will be fit on Wednesday."
After scoring a second-half brace, Samir Nasri spoke of the importance of City finding a cure to their travel woes in the upcoming away games, and Pellegrini echoed his in-form playmaker's sentiments.
"It's a big challenge because they are a strong team playing at home," he said of West Brom.
"We've finished this week playing three games at home. We hope that now we can start winning away because, I repeat, we deserved to win some of the games that we lost.
"But in this week we have six points. We must try and win all of them [away games] if we want to continue fighting for the Premier League."