The Icelandic international scored seven goals whilst on loan at the South Wales club but is poised to follow former boss Brendan Rodgers to Liverpool.
Laudrup confessed he is now looking to bring a goalscoring midfielder to the Liberty Stadium in time for the new season to fill the void left by 22-year-old Sigurdsson.
“If Sigurdsson leaves, we will need an attacking midfielder but, more than that position, we need goals,” he told the South Wales Evening Post.
“We have to look at the players we have got and know more or less how many goals they will guarantee. You have to reach a certain number of goals otherwise you have to defend very, very well.
“If you lose a player who scores seven, eight or nine goals, you have to find another one. It is also good if you can find a player who can cover two or maybe three positions, because that makes it easier to change things.”
Denmark international Michael Krohn-Dehli has been linked with a move to the Swans following his impressive form at Euro 2012 but Laudrup insists he will look further afield than his home country for new recruits.
“Of course I want players that I have knowledge of, but if they are Danes, Dutch or Spanish, it is not the most important,” he said.
“I do not buy any players just because they are Danes. It should be someone who fits in, and then they must be good quality at a reasonable cost.
“Of course money is important – to say it is not in football would be a lie.
“But to find a good player with potential for a small amount of moment and then to develop him in the group is a great pleasure for a manager and for a club.
“At Brondby we had Daniel Agger who came up from the youth. He had two years in the team and then we sold him to Liverpool for nearly £7 million, which is a lot of money in Denmark.
“We also had (former Bolton striker) Johan Elmander and (Denmark midfielder) Thomas Kahlenberg, who has been playing in France. As a manager that gives you even greater satisfaction than winning something as a player.”