The Football Association are investigating a complaint, denied by Reds striker Luis Suarez, that Manchester United defender Patrice Evra was racially abused by the Uruguayan during the Premier League game at Anfield earlier this month.
But Dalglish said on Friday: "I don't think it is prevalent in the game here, and it certainly isn't at this football club.
"For me, I don't see racism as far as this football club is concerned, apparent in any way, shape or form.
"We have got a case going on ourselves which seems to be dragging its feet.
"We would rather have it done and dusted, out in the open and whoever is the guilty party, whether it's the person who said it or the accuser, get their due punishment.
"We look forward to the case coming to a conclusion."