Gus Poyet's late strike ended a run of three straight defeats and left us eighth in the Premiership, still very much in touch with the European shake-up.
A trip to Leeds United follows on Saturday and Glenn declared: "There is no good beating Birmingham if we don't conslidate with some good football and results on the back of it.
"We can still improve but to do that and get the run-in right we need the squad back fit and it's a race against time to do that."
Glenn raised a wry smile knowing that we travel to Elland Road to face Leeds on the back of their amazing 6-1 win at Charlton.
"After all the pressure they've been under they've now won 6-1 away!" he said. "At least we did our business as well, put ourselves in a better position in the league and we're still on course for a European spot."
Glenn Hoddle insists it's vital we build on Saturday's crucial win against Birmingham City.