The Reds striker and the Manchester United defender allegedly clashed verbally in the recent meeting at Anfield with Evra claiming racist remarks were made towards him.
Whatever the outcome, Dalglish just wants the saga solved so he and his Uruguayan ace can get back to focusing on football.
"We would rather have it done and dusted, out in the open," he told reporters.
"Whoever is the guilty party - the person who said it or the accuser - [should] get their due punishment.
"We have got a case going on ourselves which seems to be dragging its feet.
"We look forward to the case coming to a conclusion."