Danny Graham’s 86th-minute winner condemned the Reds to their 14th defeat of the league campaign, leaving them in eighth place in the Premier League.
However, Dalglish told the post-match press conference that he felt the scoreline was harsh on his side.
"I think after the second-half performance, the players didn't deserve what they got - the least they deserved was to come away with a draw,” he said.
"Even right at the death when there was a collision between their goalkeeper and two defenders, the ball still didn't even drop for Luis [Suarez]."
The Scot insisted that his team’s poor league results this season are not a true reflection of their performances, and feels that they are heading in the right direction.
"We've just got to keep - and the players have kept - believing what they're doing to be correct,” he continued.
“The passing and the moving has at times been excellent. We've just got to keep going and maybe next year the luck will drop in for us.”
"We won’t run away from the points tally or hide or say the points tally is satisfactory to anyone who works for or supports Liverpool Football Club. We will face up to reality. The performances have been excellent in a lot of cases but not the points tally, so we will try our best to correct that."
Dalglish also reacted angrily to media speculation that he could be replaced by Wigan’s Roberto Martinez in the Anfield hotseat, stating: "I expect the owners to have more dignity and integrity than to believe a story in a newspaper."