Robbie Keane's cheeky opener put us ahead in the first half, City battled back to level via Paul Devlin's penalty after 76 minutes only for Gus Poyet's magnificent volley to clinch it three minutes from time.
Boss Glenn reflected: "We scored two great goals and Gus was a great finish to the game in the 87th minute.
"We showed a lot of character and willingness to stick together. We kept going.
"we conceded another penalty and you are thinking 'is it going against us again' but the crowd stayed patient, got behind us and in the end it paid dividends.
"Gus made a great run and it was a superb one-touch finish. He's at his best when he's one-touch finishing and as soon as it landed I thought 'he's going to hit this' and what a strike.
"I was pleased with the performance and the most important thing was the three points.
"We didn't get them luckily, we deserved the win, but it was good how we kept at it. The fans went home happy in the end."
Glenn Hoddle praised the persistence of his side after Saturday's great, late show against Birmingham City.