The Brazil international's current deal is due to expire in the summer of 2014 and the Peixe were keen to hold on to their star attacker until after next year's World Cup.
However, Neymar has made it clear that his time at Santos is nearing its end as he wants to prove his worth elsewhere.
"Neymar has informed us that he won't be renewing his deal because his time at Santos has come to an end," Rodriguez told Cadena Ser.
The 21-year-old has caught the attention of several European giants, with Barcelona sitting in pole position to secure his services.
Neymar will compete in the Confederations Cup this summer before traveling to Catalunya in July to discuss a potential transfer to the Camp Nou side, Goal.com exclusively revealed earlier this month.