The boss admitted immediately afterwards that we weren't at our best against a spirited Baggies side who had the chances in the first half to respond to Christian Ziege's early opener.
But the visitors failed to take those chances and we ran out 3-1 winners with further goals from Robbie Keane and Gus Poyet.
"It's a good win because it's a win not playing particularly well," said an honest Glenn.
"But I said to the players that we have to look at ourselves and better finishing might have put us 2-1 down. That isn't the standard we're trying to set.
"Having said that, we might have drawn this game a couple of years ago. Now we're getting results.
"We played similar against Middlesbrough and got beaten although I felt we were a little better than that but not by much.
"Yet we've ended up scoring three goals and that's always good, three points and back into seventh position.
"We're in touch with fourth and fifth and there is everything to play for."
Glenn Hoddle took solace in beating West Brom in a game he believes we might have drawn not too long ago.