The 24-year-old, who has struggled with a string of niggling injuries in the past 12 months, has recaptured his best form in the Campeonato Brasileiro this season.
Ganso has been linked with a number of European clubs, including AC Milan and Tottenham, while Turkish giants Galatasaray have also shown an interest.
The player, who wore the Selecao's coveted number 10 shirt at the 2011 Copa America, has calmed speculation by telling Brazilian sports daily Esporte Interativo: "I still have a lot to achieve at Sao Paulo, so there is very little chance I will be leaving now."
Meanwhile, club president Juvenal Juvencio believes the former Santos star is still improving and does not see him moving anytime soon, unless they receive an outstanding offer.
"Ganso is starting to show his talent, but I think there is room for improvement," said Juvencio.
"I can't guarantee he won't leave because I would need to analyse any serious offers."