Juve is said to be keen to rival Madrid for the signature of the 18 year-old midfielder, who has a contract at Roazhon Park until the end of next season.
However, Camavinga, who has made over 50 appearances for Rennes and earned three France caps, claimed not to be interested in securing a big move at this stage of his career.
"It's not something that comes into my head, that I think about constantly," Camavinga said. "I see and I hear [the talk]. These are things that give me pleasure. I'm at Rennes and other clubs, that's not for now. We'll see.
"I have two years left on my contract and we'll have time to talk. There will be talks. To prolong my stay at the club that formed me would make me happy.
"Obviously, the big clubs are a dream. After that I could not name one in particular."
Injury kept Camavinga out of contention for France's latest batch of international matches, but the past week has still seen him achieve the significant milestone of getting his driving licence.
"For the moment, my parents don't let me drive too much," he said. "I'm waiting to have my own car. We'll see if they let me."