Suarez, 24, scored his first Premier League goal since October 1 to end a run of four successive draws at Anfield.
And the 1-0 win helped the Uruguay international ease the pain of receiving an FA misconduct charge for an alleged offensive gesture after Monday's defeat at Fulham.
He is also awaiting a date for a hearing into a racism-related charge which dates back to October but Dalglish insists his hitman deserves some positive plaudits.
King Kenny said: "The headlines don't matter ? but they will be nice ones tomorrow.
"He scored with a header which doesn't happen very often and he played really well. It was well deserved and well taken."
Goals may have been in short supply but Liverpool dominated the game against Neil Warnock's side.
And Dalglish was pleased with the overall display from his Champions League chasers.
The Reds boss added: "It was an excellent performance. We had a lot of chances and got one goal.
"One is enough when the others don't get an opportunity and the players showed great courage and belief in what they are doing.
"Some of the football we played in the first half was brilliant and I think we played better before we scored than after it.
"But even then we still created a few."
Warnock also joined Dalglish in paying tribute to match-winner Suarez.
He said: "I'm disappointed with the goal. Luke Young has put his hand up in the dressing room because he was marking him at the corner and just lost him.
"But that is the quality of people like Suarez, they find half a yard and I thought he looked amazing today."