The Santiago Bernabeu side, fresh from winning La Decima, have been strongly linked with a move for the Liverpool forward.
Benzema's position in the Madrid starting line-up would be undeniably jeopardised by the Uruguayan's arrival but the France international says he is not in the least bit perturbed.
"I'm not under any special pressure about it [a potential move for Suarez]," Benzema told Marca. "Suarez is a great player and has had a great season. If he comes, he'll be a help."
Indeed, Benzema insists he has no intention of leaving Los Blancos any time soon, revealing that he is hoping to secure a contract extension.
"I hope to reach an agreement with Madrid," the 26-year-old stated. "There is no other club like this one.
"Every year I feel better and only think about Real. I'm happy here with my family. My parents go where I go; they come to see me a lot."
Benzema admits that Madrid were delighted to finally realise the club's dream of claiming a tenth European Cup but claims that they are already thinking about winning everything next season.
"I went to Real Madrid to win La Decima," said the forward. "I dreamed all my life about that trophy and I'm very proud.
"I'll never forget it. But football moves on quickly. Luckily, we now have the World Cup, but what we have done will always be in a player's career.
"We want the six titles [next season]. Real Madrid have no choice.
"We have the Club World Cup, the Spanish Super Cup, the European [Super Cup], the league, the Champions League again and the cup [Copa del Rey].
"We have to win it all. And we can, because we are a great team."