The Swans booked a Capital One Cup last-four place despite an often laboured performance in a 1-0 win against npower Championship club Middlesbrough, with Seb Hines' late own-goal deciding the tie. Swansea join Arsenal's conquerors Bradford, Aston Villa and either Leeds or Chelsea in the penultimate round next month.
But there is little danger of the Welsh club being distracted by cup fever, and Laudrup said: "It's great to have the semi-final there, but I am happy we play Tottenham away on Sunday. That's perfect, because I know on Sunday everyone will be focused once again."
He went on: "It would have been much more difficult to play a home game against a smaller team on Sunday or Saturday, so Tottenham away is perfect."
Swansea City have not reached a semi-final since losing 2-1 to Preston in the 1963-64 FA Cup, when they were known as Swansea Town.
Despite off-field financial troubles at the time and a second division relegation battle, their cup run was highlighted by a stunning quarter-final victory over Bill Shankly's Liverpool.
"I think all the teams left in the competition think they have a possibility to go to Wembley," Laudrup added.
"We think that, Villa and Bradford as well. It is fantastic. That is what these competitions are all about.
"We didn't play well in the first half (against Middlesbrough), but it wasn't because the players didn't have the right attitude or focus. We were too tense."