Last year's Capital One Cup winners are winless in their last six Premier League games and are now only four points above the drop zone - but the Dane is calm
The Swans have not won any of their last six Premier League matches and sit four points above the drop zone in 13th.
Ahead of clashes with champions Manchester United and in-form Tottenham, however, Laudrup feels that the confidence within his squad is a promising sign.
"As I long as I can see that there's a lot of confidence in the team then I'm not worried," the Dane told the press.
"I have a lot of respect for the numbers and it could be moments when we are just a few points away from that bottom three."
After the visit of Tim Sherwood's men on January 19, Swansea's next three opponents - Fulham, West Ham and Cardiff City - are all teams currently in the bottom five and Laudrup believes that, if his charges are to boost their survival hopes, results against those around them are essential.
"We just have to pick up points; especially when we [face teams in the bottom half]," he added.
"We know there are some difficult games coming up but, if we do play as we have done in recent games, we will pick up the points."