The Brazilian winger has been linked with a move to the Premier League in the summer.
Asked about his own future, Vinicius told TNT Sports: "I'm always focused on wanting to be at Real Madrid, being with the best players, learning alongside the best players.
"I'm 20 years old and it seems as though I've been playing for many years but I'm only at the beginning of my career.
"I'm learning a lot from the players that are here, those that play in my position.
"I want to stay at Real Madrid forever."