Asked at the Turkish Grand Prix about his Ferrari future, the Briton told reporters: "I don't want to get into that discussion.
"We are going to have a presentation of the new structure of Ferrari after the season finishes."
"And then you will see how we are going to structure Ferrari for the future. But for the moment we are trying to win a world championship and we don't want the disturbance affecting our attempts to win the championship."
Asked to confirm that there would therefore be a new structure, Brawn raised his guard again: "Not necessarily but we'll tell you at the end of the season."
Ferrari are the object of constant speculation, with continuing uncertainty about the future of team boss Jean Todt and Brawn as well as seven-times world champion Michael Schumacher.
The 37-year-old German, 10 points behind Renault's Fernando Alonso in the championship battle with five races remaining, has yet to decide whether to continue or retire after his contract expires at the end of the year.
His manager Willi Weber has urged him to go out on top if he wins an unprecedented eighth title but others see no signs of the most successful driver in Formula One history slowing down just yet.
Ferrari have said they will announce their 2007 driver line-up at their home Italian Grand Prix at Monza in two weeks' time. A team spokesman confirmed that remained the case.
Finland's Kimi Raikkonen has been widely tipped to move from McLaren either as Schumacher's team mate or replacement. Ferrari also have Brazilian Felipe Massa under contract.
Todt and Brawn, architects of the most successful Ferrari team in the history of the sport, have also yet to confirm their intentions with recent speculation that Brawn could take a year's sabbatical.
The Briton has been with Ferrari for 10 years and has overseen all of Schumacher's championships, including two with Benetton.
"There's evolutions going on throughout the whole organisation. Formula One teams change shape and the shape of a team in the future may be different," he said in Hungary earlier this month.
