The Baggies travelled to Swansea with zero wins from nine games.
After going behind in the second minute, West Brom fought their way back to finish the match 2-1.
In a very tight bottom half of the table three points can make all the difference for a team like West Brom come May.
They now sit three points above the drop zone and the pressure has surely lessened, if only slightly, on their new manager.