Following Monday's 1-1 draw with Hull, Laudrup confirmed Dutch international Vorm will need to have an operation on a niggling knee injury.
But the Dane said no decision has yet been made as to when Vorm will go under the knife as the Swans try to find an opportune moment for the procedure, with the club in the midst of a busy run of games.
With Vorm absent, Gerhard Tremmel started in goal against the Tigers with 18-year-old Slovenian Gregor Zabret on the bench.
And Laudrup acknowledged Swansea may require further cover to cope whenever Vorm does undergo surgery, with an expected recovery period of four to five weeks.
When asked if he would look to bring a keeper in, he said: "Let's see. It depends when we can do it (Vorm's surgery).
"We have games, and there are times when we have very many games, and times when we have less.
"But we always have games and you can't play with one keeper.
"That's much too risky. If something happens to Gerhard then we would have to play with an 18-year-old who is not an experienced goalkeeper.
"That's not good for him or for the team."
One piece of good injury news for Laudrup was the return of Michu from a five-week stint on the sidelines.
The Spaniard played a full 90 minutes up front, but Laudrup will be more cautious with the forward when it comes to Thurday's Europa League meeting with St Gallen and Sunday's Premier League trip to Norwich.
And the Dane will also not rush Wilfried Bony back into action as the Ivorian recovers from a hamstring problem.
Of Michu, Laudrup said: "It was not the plan for him to play 90 minutes, he had been out for five weeks so the plan was to play him for 60 minutes.
"But as the game went on, and with us not having anyone else who could play there, he wanted to play on, so he played the 90 minutes.
"He will be tired for a couple of days so we have to think about the rest of the week as we have three games in six days and he cannot play in all three."
He added on Bony: "He is a little better, but we have to be careful because we are talking about a muscle injury. With a muscle injury, if you come back one day too early, you could have a setback and be out for four weeks. We don't want that."
Monday's fixture saw former Swansea striker Danny Graham net for the Tigers to end a 30-game goal drought.
But his strike partner Yannick Sagbo also turned in a tireless display, and manager Steve Bruce admitted he has been surprised at how well the Ivory Coast international has adapted since his move from Evian.
Bruce said: "He was terrific, he was top class. Strikers are always judged on goals and he has to put that in his locker, but his work-rate and his ability to hold the ball up is fantastic.
"He can only get better, it's difficult for any player to come in to play in the Premier League but he has done really well.
"You have to admit it's a gamble when you sign someone from France as you wonder can they adapt? Can they settle down? It's a different game.
"I was there last week and it's a very different game, but he is adapting."