"The only thing I will say - and then it is put to bed - is that the football club and everyone at the football club is totally and utterly fully behind Luis Suarez," The Telegraph quotes Dalglish as saying.
"There was an allegation after the game about him diving all over the place and there was an allegation from Patrice Evra. Obviously the two things are emotive but we support the wee man on both things.
"At the start of the week the club made their position known and apart from what I have said we won't be adding to it."
The Liverpool frontman could escape punishment if Evra fails to provide evidence to support the allegations.