The Swans proved they could not only win without 14-goal top scorer Michu but also doing so after resting six other players.
Laudrup said: "We'll have a lot of games, so that's why it's important to have more people fresh and more people with match fitness, so you always can use them.
"On Tuesday, it's the first. Again we play Sunday, (January) 6 against Arsenal, on Wednesday against Chelsea and on Saturday against Everton away. What a three games in six days we have there.
"So, it's not only about Christmas and new year. It continues on until mid-February and then it slows down again."
One player to benefit from Michu's ankle injury, which could also keep him out on Tuesday against Aston Villa, is Danny Graham.
Last season's top scorer marked his recall with his first league goal for more than four months.
Laudrup hinted Graham may be allowed to leave if he was unhappy with his lot.
He said: "There maybe players who say, `no, I would like to play more and try to find a solution', and then we'll do that."
- Sports & Recreation