The 20-year-old Brazil striker has been targeted by European heavyweights Barcelona, Real Madrid and Paris Saint-Germain in recent months but remains, for now, in his home country.
He is, however, open to the idea of making a move to London after his international team-mate Oscar made the move to Stamford Bridge during the summer transfer window.
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"There are maybe five clubs in the world that you know you must at least listen to. When the time is right I will listen to to the right offers that my agent has for me."
Former Internacional playmaker Oscar has made an impressive start to his Chelsea career, scoring twice on his Champions League debut against Juventus.
Neymar admitted that both he and Barcelona full-back Dani Alves had made sales pitches to him as he contemplates a move to Europe.
"Oscar messages me to tell me what a great club Chelsea is and what a great city London is," he added. "He and Dani are both very good salesmen for their club."
The young forward has 48 goals in 95 league appearances for Santos, and has already hit an impressive 13 goals for the Brazilian national side in just 23 games.