Murray said Suarez, who could be kicked out of the World Cup for sinking his teeth into the shoulder of Italian defender Giorgio Chiellini during Uruguay's 1-0 victory on Tuesday, had gone too far.
"I don't think you look at that as a football fan. It's just wrong. It looks really weird seeing a person bite someone else. I just don't see how that would come into your thinking," said Murray.
"You can understand sometimes someone lashing out or whatever. But the biting's far too much.