The 20-year-old has been heavily linked with a move to Spanish giants Barcelona while Real Madrid, Chelsea and Manchester City are also reportedly keen to sign the striker, Xinhua reports.
"It's a step that I will take one day but I'm not looking for a move to Europe right now," Neymar said after accepting the annual King of the Americas award for the best player in South America adjudged by Uruguay's El Pais newspaper.
"For now I prefer to stay at Santos, to be with my friends and family. I have a contract until 2014 and I want to fulfil it. I could even extend it. It's something that could be negotiated."
Neymar won the King of the Americas award for the second consecutive season with 199 votes, ahead of Peruvian striker Paolo Guerrero, who finished 50 votes behind.