The goalkeeper is enjoying a fine campaign once again with the Foxes, as they continue to challenge for an unlikely Premier League title.
It has not been an easy career for Kasper, having had to deal with comparisons to his famous father, who is considered by many as the best goalkeeper in the Premier League era.
Laudrup though, says his displays this season have helped him to finally start to step out of the shadow cast by his famous father.
"I think with Kasper Schmeichel he is maybe enjoying the form of his life," Laudrup told Omnisport, via FourFourTwo.
"He realised a number of years ago that he was going to walk in his father's footsteps. Not many would have liked to see that because I think they would have felt that would be too much of a burden on his shoulders”
"Now he is getting to a stage in his career where he is actually walking out of his shadow and I hope this season Leicester could go all the way and produce maybe the biggest upset since 1992 with Denmark.”
The Foxes will certainly be hoping that Schmeichel can continue the fine form he has enjoyed this year, with the title race looking to be one of the closest for a number of years.
Key to their fine displays this season has been the defence, with his relationship with central defensive duo Wes Morgan and Robert Huth having impressed many.
That solidity at the back will be even more key in the run in, and if they were to win it, it would be a big step in creating a legacy away from the one his father created during his career.