The 60-year-old leads the Reds into European competition for only the third time on Thursday in a last-16 first leg against Braga, having missed out completely during his first spell in charge two decades ago because of the ban on English clubs.
But he dismissed suggestions he would gain particular personal pride from succeeding in the Europa League, stressing all he wanted to do was to make the club successful again.
"It is no less an ambition to me than winning the next game," said the Scot.
"It is not about Kenny Dalglish and my ambition, it is the club's ambitions and they have an ambition to be in a much healthier position than they are at this time.
"We will strive to do our best to get as far up the (league) table as we can and also in the Europa League and we will see where it takes us.
"But we won't lose out on anything from a lack of desire."
The Reds head into the match in Braga on the back of a morale-boosting 3-1 win over arch-rivals Manchester United on Sunday.
But Dalglish said neither he nor the players could allow that to cloud their thoughts on the task ahead against a side who are unbeaten at home in Europe, having already accounted for Celtic and Arsenal in the Champions League.
"We are not living in reflected glory," said the Reds boss.
"Everyone was delighted with the performance, it was a big win for us which could do us the world of good but it will do us harm if we think that is the season finished.
"The boys trained really well yesterday. I think they enjoyed it (the United win) but they won't get carried away with it."
Liverpool came through the last round by beating Sparta Prague but Dalglish is expecting another challenge tonight against a team who beat Benfica at the weekend.
"It will be a different type of opposition. We'll play in whatever way the game is thrown at us," he said.
"If we've got the ball, obviously we'll try to score and if we don't have it, we'll try our best not to lose a goal.
"It's very difficult to score a goal if you don't have the ball, but that doesn't mean to say the more possession you have, the better chance you have of scoring.
"It's all about what you do with the ball and if we're more creative with it, then we'll have a better chance of scoring.
"But Braga are a very good side who work very hard for each other and are well organised.
"It's going to be a difficult game, but we hope Braga are saying the same about us."
