Having seen improvements on the pitch if not in results in his three previous matches in charge after taking over from Roy Hodgson the Scot finally got the victory he was craving.
Fernando Torres scored his eighth and ninth Barclays Premier League goals of the season either side of Raul Meireles capping a fine individual performance with a brilliantly-taken second-half volley.
It was only Liverpool's third away win in the league in 13 months and their first point outside Anfield since the 1-1 draw at Widgeon on November 10.
The result does not paper over the obvious deficiencies in the squad - which Dalglish is trying to rectify with moves for Ajax forward Luis Suarez and Blackpool midfielder Charlie Adam - but reinforces the belief among the current players given to them by the appointment of the club legend.
Victory has Liverpool looking up the table with more optimism under Dalglish than they had under Hodgson.
Source: PA
Source: PA