Brendan Rodgers and co have earned 12 points from 10 games so far this term and sit in 10th position in the table - and Dalglish is expecting a tough game.
"It's a game that we're going to have to be very patient in," he told the TV cameras at Melwood on Thursday morning. "They pass the ball well, they move it well.
"The supporters have to understand that sometimes there is a bit of disrespect for teams who have been promoted.
"Swansea might have spells of possession in the game, which we've got to accept. We've rued the games against some promoted teams over the last few years. Swansea are one of the promoted teams but they're a decent side and they've got a good collection of points."