Another former F1 driver, Ralf Schumacher, says the "biggest mistake" made by Ferrari a year ago was not giving Vettel "everything he wanted".
"But we're confident that we can do that during the course of the year".
"Judging from the performance in Barcelona (testing), it looks like we will have a proper fight on our hands in Melbourne".
The pressure is arguably heavier on the shoulders of German rival Sebastian Vettel, who won just five races previous year and saw his challenge evaporate with a string of mistakes on track. They employed Sebastian Vettel as their No 1 driver in 2015, after the German won four world championships with Red Bull, in an attempt to find success, but it has not paid off....More news: Messi stars as Barca reach Champions League quarters
Brawn was the technical director at Ferrari between 1997 and 2006, the team's most successful period with six consecutive constructors' championships and five drivers' titles for Michael Schumacher.
"So far, it's been good and I was very happy by how everyone has been working together", said Max Verstappen.
Meanwhile, Vettel sees Charles Leclerc, who joined Ferrari from Sauber in a swap for the experienced Kimi Raikkonen. "It's something I've kind of also realised over the past years and especially last year that I definitely only have one career and I don't want to be in the situation that after the season where I should have done this or that".
Meanwhile Red Bull, powered by new Honda engines, have high hopes that Max Verstappen, who finished fourth in the drivers' standings a year ago, can crash the Hamilton-Vettel party.More news: Tesla Should Not Have Lowered the Price of Autopilot Says Musk
The team said on Tuesday it had expedited an upgrade for the RB15 auto in time for Sunday's race, a month earlier than scheduled.
"I'm excited to see the pecking order", said Daniel Ricciardo ahead of his debut for Renault.
Red Bull have been encouraged by the first steps they have taken with Honda, whose engine ran faultless during testing.
It will also be an emotional weekend for Pole Robert Kubica, who reboots his F1 career with the struggling Williams team eight years after being seriously injured in a rally auto accident.More news: Dark mode comes to Google Chrome on MacOS
It's a massively long season, and always with some regulation changes like this year is going to be a lot about how much you can improve the vehicle, because the cars in Abu Dhabi are going to be so much quicker than this weekend.