Following the 3-0 win two weeks ago, the Swans boss is confident his team can triumph over the Europa League's best but played down their chances of winning the competition
The Swans currently sit top of Group A after triumphing at the Mestalla, and are set to face Swiss side St Gallen at the Liberty Stadium on Thursday evening.
With Swansea now favourites to progress out of the group, Laudrup has hailed his team's ability but played down their chances of winning the competition.
"I think that game [against Valencia] told a lot of things. It tells us that on our day we can beat everyone," he told the Daily Mail.
"It also shows that football is part about technical skills and attitude but as well it is about the moment."
"Since then Valencia have changed and won three in the league. On that day we had a huge possibility to win because they had a poor start [to the season] and that is what I told the players on the day of the game."
"If we played them tomorrow in the same stadium it would be a completely different game and we are only talking about a three-week difference."
"Winning in Valencia doesn’t make us favourites in anything. We are looking at getting to the knockout games but even then there are 32 teams still in," he added.
The 49-year-old has warned of the quality of St. Gallen, who have impressed in wins over Kuban Krasnodar and, most notably, Spartak Moscow earlier in the competition.
He continued: "It is already quite an important game. I have seen their games against Kuban and Spartak in the play off. They don’t have big stars but they are working hard.
"They were big underdogs against Spartak. They drew at home and were really outplayed at times in Russia but they came through. It is a difficult game. We have to be wary of the spirit they have in their squad," warned the Dane.
"They play a little different than us, sometimes a bit more direct but they have really done well against the Russians. We have to be careful. We are the home team, we will have to control the game and probably we will but we need to keep an eye on their counter attacks and spirit."