Sao Paulo are reportedly not fearful of losing Brenner despite the widespread interest in his services.
The 20-year-old has scored 19 times in 39 appearances for his Brazilian side, and a number of clubs are believed to be closely monitoring his performances.
Arsenal have been strongly linked with the attacker, while Juventus, Real Madrid, AC Milan and Ajax have also been credited with an interest in recent weeks.
However, according to Globo Esporte, Sao Paulo are not prepared to sell the Brazilian for anything under his €50m (£44.5m) release clause.
As a result, the report claims that the Gunners are expected to be priced out of a move as they are not prepared to pay that amount for the youngster.
Brenner has scored 17 times in 27 appearances at club level during the current season.
