Stewart Downing hit the crossbar and also drove a penalty against the post before Ramires pulled one back just after the break. But Jonjo Shelvey restored the three-goal cushion with a long-range effort to leave Dalglish a happier man after a string of poor results at Anfield this term.
"It was an excellent performance," said the Scot. "It was one which has been seen a few times before here but the result hasn't been as positive as that.
"The pleasing thing is the performance was matched by the result and also the fact the supporters could go away from the final match of the season here with a smile on their faces.
"We are just pleased that we have given them a performance which gave them a bit of a smile on their face."