Walcott picked up a groin problem on international duty last month, and Wilshere has been sidelined by an ankle injury since Arsenal's 2-1 loss to Tottenham on March 3.

While neither player will be fit in time to make the trip to The Hawthorns this week, they could be back for the game at home to Norwich on April 13.

"Jack and Theo are outside running, and have an outside chance of being involved against Norwich a week on Saturday," assistant manager Steve Bould told Arsenal's official website.

Arsenal are fifth on the Premier League table, two points outside the UEFA Champions League qualification places.