Michael Appleton’s men failed to lay a glove on the struggling Baggies, not even managing to produce one shot on target.
It looked as though they were going to hold out for a dull goalless draw but the hosts scrambled home a winner five minutes from time.
Here’s how Blackpool’s players rated...
1. MAN OF THE MATCH: Chris Maxwell - 7/10
Made two smart saves to deny Karlan Grant and John Swift before West Brom’s late winner, which he couldn’t have done anything about. Photo: CameraSport - Andrew Kearns
2. Callum Connolly - 6/10
Given plenty of defending to do down the flanks but stood up to it pretty well. Lucky to escape booking and one-match ban. Photo: CameraSport - Andrew Kearns
3. Marvin Ekpiteta - 7/10
Made some important headers when West Brom got the ball into the danger area. Delivered plenty of crossfield balls. Photo: CameraSport - Andrew Kearns
4. Jordan Thorniley - 5/10
Surprisingly sluggish given his excellent recent form. Seemed like his minor niggles might have caught up with him. Photo: CameraSport - Andrew Kearns
5. James Husband - 6/10
Solid enough. Didn’t have much of an opportunity to get forward but worked well defensively out of possession. Photo: CameraSport - Andrew Kearns
6. Kenny Dougall - 5/10
Struggled in the number six role again, having previously performed well as an eight. Didn’t break up play effectively enough. Photo: CameraSport - Andrew Kearns