The boss was, of course, looking back on a number of occasions last season when a lead was squandered in the closing stages after opportunities to kill games off were not taken.
This made Glenn particularly happy with the stubborn resistance the team showed in the second period when often under pressure.
He admits that it was certainly not an easy afternoon at the office.
"I think so and it was tough in the second half," said Glenn, post match. "But let's not take away from some of the play we put in during the first half.
"We were worthy of going in 1-0 up and maybe more if we'd have just put the right cross in at the time - I think Teddy in particular and Les on one. Coming in 2-0 up would have made an easier sort of second half.
"The boys battled really hard, they dug in, our back four was solid and I like the way the three subs we put on really affected the game. They needed to affect the game in a different way.
"Last week Les affected the game in a positive way, by scoring. This week we had to tighten the reigns a little bit and Goran and Ben Thatcher did excellently."
Thatcher replaced Christian Ziege, who made a swift return direct to first team action after suffering an ankle injury against Celtic in pre-season.
"I took a chance today in selecting Christian. I'm pleased it's worked out because Christian hasn't had much football. But, being at home and wanting to get some crosses in - he has got a fantastic left peg...
TICKETS FOR SPURS V SOUTHAMPTON ON SATURDAY AUGUST 31 NOW ON GENERAL SALE - CALL 08700 112222 OR
CLICK HERE FOR DETAILS
"We always had one eye on maybe bringing Ben on and he did fantastic when he came on.
"The fans will go away and be happy with the win, but will say 'we've seen them play better'. I'll tell you one thing, last year we might have drawn that one - and I thing this is a great sign for us.
"We had Villa and Everton last year in the first two games and we're now two points ahead of the ball.
"I think this is a positive step and a springboard to go to Charlton with a lot of confidence and a lot of belief in ourselves. That is important at this stage of the season."
Glenn was very content with the resolve of his side after the single goal win over Aston Villa and reflected that, last season, the game might have ended as a draw.