The last time Chiellini faced Suarez, the latter sank his teeth in the shoulder of the former, this led to a ban for Suarez.
Both players are set to square off again in the UCL final next month as Juventus and Barcelona have a go at each other in Berlin.
Chiellini has insisted though that he holds no grudges against the Uruguayan and intends to thwart his efforts the same way he did Ronaldo, Bale and Benzema.
“It has been a week since we knocked out Real Madrid and people only ask me about Suarez,” he told reporters.
“I bear no grudges. I have no problem with him. I will mark him the way I did Benzema, Ronaldo, Bale or any other striker, so there’s nothing different about it.
“The only thing that disappointed me that time was going out of the World Cup.”