The Brazilian's current deal with the La Liga giants still has two years left to run but he has declared that he hopes to extend terms amid speculation linking him to a move to the Saudi Pro League.
Vinicius said: "I am very calm because my contract lasts until 2027 and I hope to renew my contract as soon as possible because I am happy here.
"I am living the dream of playing with the best players in the world, the best coach, the best president, the best fans. Here everybody loves me so much. I couldn't be in a better place."
The player has won three La Liga titles and two Champions League crowns since joining Real in 2018 but is determined to add to his medal collection at the club.
Speaking ahead of the first leg of Real's Champions League last 16 tie against city rivals Atletico Madrid on Tuesday (04.03.25), Vinicius said: "My child dream was to make it here. Now I have managed to make it here, I am writing my story.
"I have won but I can still win much more and make it into the history of the club. That is very complicated because many good players have been here, legends, and I want to be just like them."
Vinicius controversially missed out on the Ballon d'Or to Manchester City midfielder Rodri last year and said that Real asked him to miss the Paris ceremony as they boycotted in protest.
The forward said: "I did what the club told me to do. The club asked me to stay in Madrid so I calmly stayed and now we wait for the next one."