Swansea climbed off the bottom of the Premier League as Wilfried Bony's late winner eased the pressure on head coach Paul Clement.
The Swansea boss had insisted before West Brom's visit that his future did not rest on the outcome of this game.
But Clement's joy on the touchline was unconfined when Bony smashed home nine minutes from time in a crowded goalmouth to secure a 1-0 win.
It was the first time Bony, having scored at Stoke last week, had registered in back-to-back Premier League games since December 2014 - during his first Swansea spell.
Swansea City 1-0 West Bromwich Albion
