The Magpies have been rejuvenated in recent weeks, winning three of their previous four league games before Saturday to ease fears the club could lose their Barclays Premier League status.
However, defeat at the Liberty Stadium, courtesy of a scrambled late goal from Swansea substitute Luke Moore, means they are just six points clear of the drop zone with 10 games to play.
But there were plenty of positives for Pardew to take from the performance in south Wales, with his side unfortunate not to pick up a valuable point.
After a sluggish start, Newcastle slowly took a hold on the game and had the better of the second half with Moussa Sissoko, Yoan Gouffran and Papiss Cisse all spurning good opportunities.
And Pardew has every confidence he can now look at the sides ahead of them in the table - as opposed to those below them.
When asked if he had any concerns about his side's position in the table, he said: "None at all.
"I don't worry about this team. It is strong and it is just disappointing when you don't get anything and that is what our overriding emotion will be after this game.
"But we are a strong side, you can see that. To come here and play as well as we did and boss Swansea in the second half, not many teams can do that.
"They are a good team and you don't win the League Cup and have the season they are having without being a good side.
"They have great individual players, they are a good unit and a well educated side and we did really well against them and it is galling we did not get anything."
Swansea, meanwhile, can look forward to their final 10 fixtures after getting to the 40-point mark less than a week after securing their first major piece of silverware at Wembley.
But manager Michael Laudrup has vowed to make sure they remain competitive right up until the end of the campaign.
"We have some tough games ahead, but after this win we can take them on one by one," he said.
"We have some very tough games but we are now in a much better position.
"But there is always tension at this level, because when you don't have it, you don't compete and you could lose 5-0 in every game."