The goalkeeper suffered the injury after coming off the bench in Sunday’s defeat to Sunderland.
Elliot replaced the injured Tim Krul, who dislocated his shoulder in the Tyne-Wear derby and won’t play again this season.
And Steve Harper had been put on standby for Saturday’s crucial Premier League game at The Hawthorns.
However, Elliot was back in training this week, and the 26-year-old is expected to line up against West Brom.