The Dane is keen to see his side grab a third straight win to keep them in pole position in Group A and says he is satisfied with the squad's performances in the competition
The Swans lead Group A after victories over Valencia and St Gallen, and are now preparing to face the winless Russians at the Liberty Stadium.
And Laudrup knows two wins over the Russia outfit - on Thursday and November 7 - will stand them in good stead to advance from the group stage.
"[Kuban] have some good offensive players, particularly ones with speed," he told the club's official website. "They are also useful on the counter attack.
"But we play at home, we’ll be favourites and we want to win. If we do, we’ll have nine points and one foot in the knockout phase.
"So in that sense, tomorrow is a key game for us because we want to finish top of the group to give us the best chance going into the next stage."
Still, Laudrup is not willing to discount the threat posed by Kuban, whilst adding he is happy with the Swans' debut European campaign to date.
"They are a side that really needs a positive result, but they are not bottom in the Russian league," he added.
"Sometimes you just need that victory, and that is what can make them a dangerous team to play against.
"Until now, we can be very pleased with what we have done in Europe. But it is still a new competition for us, and we have to take it step by step."