Suarez seemed to be on the wrong end of a couple of decisions in the 1-1 Anfield draw against Norwich City, most notably when he went down under a second-half challenge from Marc Tierney when he looked to be clear on goal.
However, Dalglish fully supports the striker, who after last week's match was also accused of racism by United defender Patrice Evra, and hit back at the snipers.
"I think the problem is there are people who question Luis Suarez's integrity," said the Scot.
"It is their integrity that needs questioning not his.
"On the football pitch he is exemplary, a fantastic footballer and we have 100 per cent faith in Luis Suarez and the way he conducts himself."