It will be the first time to two pair off since last year's World Cup, when Suarez bit Chiellini during Uruguay’s 1-0 group-stage victory over Italy in Natal.
But Chiellini says both players have moved on from the incident that left Suarez with a four-month ban from the game.
"I'll face Suarez as a great striker and nothing more, just as I did with all the others: [Cristiano] Ronaldo, [Gareth] Bale, [Karim] Benzema, Chicharito," Chiellini told Tuttosport .
"Episodes like that in the summer help you mature, for both sides. Even on his part I think there is nothing other than the desire to win the Champions League."
Italian champions Juventus booked a showdown with Barcelona at the showpiece in Berlin on June 6 thanks to a 1-1 draw with Real Madrid on Wednesday that saw them progress 3-2 aggregate.
The clash will also see former Liverpool striker Suarez go up against Patrice Evra, a player Suarez was found guilty of racially abusing by the English Football Association during a 2011 Premier League game.
Former Juventus defender and Uruguay international Paulo Montero says Suarez should relish the chance to impress against both players.
"For Suarez there will be a motivation to face Evra and Chiellini again," he told AS .
"It's his chance, I would suggest, to be cheeky – to lift the cup right in their faces.
"With the way that Suarez is playing, Evra and Chiellini should be very worried."
Suarez has hit 24 goals in 41 appearances, including 6 in 9 Champions League games, since joining Barcelona last summer.