The Scot has hit out at his side's inability to put their chances away after Brendan Rodgers' team frustrated the hosts to claim a well-earned point in a 0-0 draw at Anfield
The Reds were frustrated by a committed Swans side and were held to their fourth home league draw in just six fixtures so far this season.
Dalglish said: "The performance was disappointing. Swansea played the way we expected them to play but we certainly didn’t play the way we’d expected to play.
"If the chance [Andy Carroll's effort that struck the bar] goes in early doors then it changes the complexion of the game but as well as giving credit to Swansea we’ve got to look at ourselves and expect better performances than we produced there.
"Anything we’re good at we certainly didn’t produce much of today. We’re usually good at passing and moving but there wasn’t much of that today when we got it back we gave it away quickly and most of the times when we gave it to them they got up the pitch well."
The Scot admitted his side is currently suffering with an inability to put their chances away and rued an early Andy Carroll miss when the forward struck the bar from just six yards out.
"They had one chance in the second half when they put it over but as I say we’ve got to look at ourselves and understand that that level of performance is unacceptable.
"They played exactly like we thought they would play. It doesn’t matter if you’re promoted or you’ve been here for 10 years they’ve got their own style and they play it well.
"Our perspective never changes you just take each game as it comes and eventually there’s going to be a last game, they’ll add up the points and we’ll see where we are.
"We seem to be doing it in most of the games we’re playing at the moment. If we’d scored early on it might have changed the way the game went but we didn’t so it’s hypothetical.
"The problems we’ve got there are problems we can sort ourselves."
The Liverpool manager went on to say his side will continue to work on their finishing and cursed their luck so far this season.
"We go through this after nearly every game but we must be getting closer if the goalkeeper has been tested a few times, we’re usually missing the target.
"That’s 11 times we’ve hit the post or bar this season, sometimes the most important thing is to create the chances the next best thing is to put them away.
"There’s nobody in the history of football that has deliberately missed a chance. The thing is to keep getting it in there but we haven’t done that today as much as we’ve done in the past so that was the disappointing thing."
When asked if he felt Swansea had a good chance of staying the Premier League Dalgish added:"If they play like that they won’t have a problem."