Pedrinho got the only goal of the game after six minutes when his shot from the edge of the box was deflected past the Sao Paulo goalkeeper.
The three points lifts Corinthians over their opponents and into third place in the Serie A table.
Another Sao Paulo club, current champions Palmeiras, lead the league by four points from Atletico Mineiro.
(Reporting by Andrew Downie; Editing by Greg Stutchbury)
