The Dane believes the impending departure of "superstar" Bale will have a huge impact on the north London club.
Wales winger Bale appears to be finally closing in on his world-record move to Real Madrid after weeks of speculation, despite Andre Villas-Boas' best attempts to keep him at White Hart Lane.
Laudrup's Swansea are Spurs' opponents on Sunday as the hosts prepare to begin life without the 24-year-old.
Villas-Boas has recruited strongly already this summer, bringing in record signing Roberto Soldado, Paulinho, Etienne Capoue and Nacer Chadli.
But Laudrup, who played for Real Madrid himself during his illustrious playing career, believes any club would notice a difference without a player capable of such moments of magic as Bale.
"They will have a very, very strong squad but a squad without a superstar," said Laudrup.
"A lot of very good players, but without one superstar as you have to admit Gareth Bale last season was an absolute superstar for Tottenham.
"I don't know if they will be better or less but I know they will be a little different because you can have a very good team, but it is always so nice that there is one player you can just give the ball and you know he can do something great.
"When you see Real Madrid play they have very good players, but at certain points they have to turn to Cristiano Ronaldo and Barcelona has Lionel Messi.
"They are super teams but some of them need to have that player who makes a difference."
But Laudrup acknowledged Bale's departure may mean his Swansea side face a Tottenham side with a fresh resolve.
"Sometimes it can also be difficult to play against a squad who is strong without a superstar," he said.
"I believe in Tottenham right now all the players are saying 'okay we will lose our top player but we have to be strong and each of us have to give two per cent more to compensate for that'.
"I think they can still be very dangerous and right now I see them as favourites to be fourth in the league."