The Dane has revealed he has been encouraged by his side's improvements in defence after keeping a clean sheet in a goalless draw against Southampton on Saturday
Swansea drew 0-0 with Southampton on Saturday, having conceded eight goals in their previous four games.
The Swans are now five games without a league win as they prepare to face the top-four chasing Blues at Stamford Bridge, but their new-found defensive solidity has given Laudrup confidence.
“I said that to the team before the Southampton game that we had conceded two goals in each of the last four games, even at home, and we should have the mentality to keep a clean sheet," he told reporters.
“We always create chances, but if we have a bad day in front of goal and we defend well it is 0-0.
“But if we concede one or two goals we will need two or three to win and that is too much to ask. That’s what’s happened in the previous four games, so to get a clean sheet was a big positive.
“And it is good timing because when we play big games everyone will be focussed on the defence because you know if you do not defend well at teams like Chelsea or Manchester United then they will score three or four.”
Swansea are currently ninth in the Premier League, level on points with West Ham but with a game in hand.
They ran out 2-0 winners on their last visit to Stamford Bridge, but Laudrup believes Chelsea's struggle with Arsenal and Tottenham for Champions League qualification will make them more dangerous this time around.
“We did it before, so we know we can do it," he insisted. "But it will be difficult as Chelsea still have a lot to play for, but we have to get the points we need to finish in the top 10."