Alan Pardew is still in search of his first win as Albion boss after a disappointing 1-0 defeat at lowly Swansea.
Albion looked to be heading for a point but again conceeded a late goal when Wilfried Bony scored in the 81st minute.
The Baggies had their chances earlier in the game but wasted a number of opportunities on the counter attack.
"It was so tight. It was really nip and tuck everywhere on the pitch," said Pardew.
"I thought Swansea had the better of the first half and in the second half I think we should have scored a goal as an away team. We had three or four great opportunities on the break and we didn't have the conviction to find the right moment.
"Unfortunately for us we didn't capitalise and then you're on a knife edge and unfortunately for us they scored from a set play.
"We've now got two huge games, difficult games as we know. There might be a different look to us in terms of trying to win those games. Sometimes the Premier League can surprise you and that's what we've got to try and do."