Rosberg currently sits 27 points ahead of team-mate Lewis Hamilton with three races to go. Brawn spoke about what makes Rosberg such a strong driver.
"He's very resilient. He slips behind a bit, then he has a good talking to himself and comes back.
"A lot of drivers, having been punished by Lewis for a couple of years, would have gone away," admitted the Briton. "In many ways I would like him to win the world championship because he's done a fabulous job of getting beaten and coming back."
Brawn also thinks that Rosberg has an advantage as he has people to concede in, while Hamilton rather keeps to himself.
"Nico will put in a more consistent performance over the year, but would never quite reach the highs that Lewis could," says Brawn. "But then Lewis dips down a bit. He's more emotional in his approach. The whole thing with the press (in Japan) was an unfortunate distraction.
"I think Nico has a few people close to him who he can rely on. With Lewis I've not seen any signs that he has that support. You don't need those battles in the middle of a championship which is intense enough already.
"But sometimes people vent their spleen. That's why if there were a mentor or confidante he could vent those frustrations out on them."
Bahrain International Circuit - Winter testing