Rodrygo was presented as a Los Blancos player at the Santiago Bernabeu on Tuesday, a year after the club paid a reported €45million to Santos for him.
Ze Roberto – who had a brief spell with Madrid in 1997 – believes Rodrygo has already shown the attributes needed to be a success in Spain and has backed him to follow Vinicius' lead.
"Vinicius started his career very well in European football," he told AS.
"He has a lot of personality and I believe that, when he gains more experience, he will become a significant player in the continent.
"Rodrygo has everything to follow these steps. He also started very well at Santos and he seems to have a good head, like Vinicius."
When asked if the pair could become two of the world's best players, Ze Roberto responded: "It is impossible to predict that today. It is better to wait."