On the day Spurs were superb, outplaying a very consistent Liverpool for much of the game, but Glenn feels a lack of squad depth due to injuries has hampered his ambitions of finishing higher up the table.
"That's a little bit of our frustration this season due to a lack of squad due to the injuries we've had that have depleted us too many times," pondered Glenn.
For many weeks now Glenn has had no room to manouvre with regard to team selection, but paid tribute to the players available for a superb showing against the Merseysiders.
"As I said before the game, the same 16 has virtually played for the last seven or eight games - to put on a performance like that is credit to the players, they were superb today."
Meanwhile, Houllier admitted Liverpool's first-half finishing could have been better but he had no complaints about his players' commitment.
"We can't fault our players for effort," he said. "To the end they fought to get back in the game.
"By half-time we should have been 2-0 up but we couldn't score. We were up for it but it was not a good day for Liverpool and I am disappointed for the players and for the fans.
"It's been a long season - it's not finished yet - and so far I am very proud of my players. We have already gone further than last season - we have five more points than last season and there are six still to go for."
Liverpool boss Gerard Houllier expressed his surprise, post match, at the position in the table we are in considering the performance level on Saturday - Glenn admits it is a frustration.