The defeat means they are just six points clear of the drop zone with 10 games to play but Pardew insists there is no cause for concern.
"I don't worry about this team," he said. "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."