West Brom have been relegated after Southampton's 1-0 win at Swansea City on Tuesday.
The result left West Brom five points from safety with one game remaining, Sunday's trip to Crystal Palace.
It means their eight-year stay in the top flight comes to an end.
The Baggies - currently on 31 points from their 37 games - had hoped to reach the final day and repeat their memorable escape of the 2004-05 season.
With Stoke and West Brom's relegation confirmed, Southampton's victory has virtually guaranteed their safety due to their vastly superior goal difference over Swansea and Huddersfield.