Sebastian Vettel helped Red Bull achieve a third successive drivers' and constructors' title double at the Brazilian Grand Prix when he bounced back from a first-lap crash to finish sixth.
While Red Bull's chiefs are overjoyed at what they claim is their biggest achievement to date, Brawn suggests that there will be little time for the outfit to enjoy the spoils of its success.
"To win a race is a massive challenge, to win enough races to win a championship is pretty special, and to do it consecutive years is even more special," said Brawn, who was part of the dominant Ferrari set-up at the start of the 21st century.
"But I know their pleasure is going to be shortlived in that they are already thinking about next year.
"In our case, it was fantastic to win it, but always there is the pressure of the following year - you want to win it, repeat it, and do it again.
"It is so intense in F1, you rarely sit back and feel job done, fantastic.
"There is a feeling of elation and achievement, but a fear of failure that is immediately there for the following year. You have that mixture of emotions.
"It is very special to win any championship and to win consecutive championships.
"It is a great achievement, and one they should be proud of."
Red Bull is only the second outfit in F1 history, after Ferrari during the Michael Schumacher years (2000-04), to have completed a hat-trick of championship doubles with the same driver.