Saturday's 2-1 Liberty Stadium defeat to Arsenal extended Swansea's streak without a league win on home turf to eight games.
The Welsh club's last home win was a 1-0 victory over Newcastle at the start of March, the week after they beat Bradford to lift the Capital One Cup at Wembley.
But the fixture list has not been kind to Swansea - their first three home games this term have seen them face Manchester United, Liverpool and Arsenal, and Laudrup feels there is no need for panic so early in the season.
"It is not a worry," said Laudrup. "We have already won two Europa League games at home.
"This is a new season, and we only look at this new season and see the three teams we have played here have been top teams.
"One was the reigning champion and the other two have been at the top of the league. You know games like that will be difficult.
"Of course we would like to win here and it is a little strange for us that we haven't won at home for three games, even if they were top teams, but away from home we have won two out of three.
"But I can't stop to think about that right now as we have two games this week, one in Europe and Southampton away and, to be fair, I prefer to win against Crystal Palace than Arsenal, and against West Brom instead of Liverpool or Manchester United."
Swansea face a less demanding run of fixtures in October, but Laudrup, who is currently without the injured Ashley Williams, Angel Rangel and Pablo Hernandez, does not see that sequence of games as being key in terms of kick-starting their season.
"It is a little early to talk like that," added Laudrup.
"But of course I am watching the fixtures and making programmes. I always have to look at the next game but the bigger picture as well.
"But you never know what can happen. When we won against West Brom, a lot of people said 'Swansea did well but West Brom were really poor, they will really struggle'. Now they have won at Old Trafford."