But they had won through to the fourth round st night praised an “extremely professional” Liverpool performance after watching his side avoid the curse of the giant-killers and ease into the fourth round.
“They gave us a very hard game. They had a lot of energy and we had a bit of luck at times,” said Houllier.
“But we had the right attitude.
“I knew if we finished the first half 0-0 we would come stronger in the second-half, that is the difference between the divisions.”
With three matches in seven days Liverpool had left Michael Owen at home to continue his recuperation from a series of injuries which have seen him play just four games since October.
Houllier had hoped to keep Heskey in reserve, but with the match in the balance in the 50th minute he brought on the extra muscle of his England striker in place of 19-year-old French teenager Florent Sinama Pongolle.
It worked a treat and Houllier later praised Heskey.
“He was fresh and he did a lot of running,” said Houllier.
Houllier was cagey on the proposed signing of Auxerre striker Djibril Cisse, who it is claimed could be joining the Anfield club for £14million. Some reports say he has already agreed to join Liverpool at the end of the season after undergoing a medical.
But Houllier said: “He has not signed any pre-contract.”
For Yeovil, fifth in the Third Division, there remains a chase for promotion in their first season as a Football league club.
“I wouldn’t be unprofessional enough to say that a shock was on the cards but we created chances and our shape was very strong,” said manager Gary Johnson.
“In the second half Liverpool came out and showed their Premiership quality in not giving the ball away. You can’t give Liverpool that amount of ball. They have got clever players who are able to slide others in.
“But I’m very proud that this football club has been able to stage this event and I am proud of the boys. They showed for part of the game that they can compete at this level. We made Liverpool earn their victory.
“Now we have to concentrate on the league.”
YEOVIL: Weale, Lockwood, Skiverton, Rodrigues, Pluck (Jackson 74), Terry (Lindegaard 38), Way, Johnson, Crittenden, Gall, Williams, Lindegaard (Gosling 77).
LIVERPOOL: Dudek, Biscan, Henchoz, Hyypia, Riise, Diouf (Le Tallec 87), Murphy, Hamann, Smicer (Cheyrou 82), Kewell, Sinama Pongolle (Heskey 51).
Referee: N Barry (N Lincolnshire).