Brawn said he was not yet able to say how his two drivers compared on performance.
BBC: Ross Brawn says top Formula 1 teams are closely matched
Brawn said he was confident the team would be able to build on this year in 2010.
Brawn said he would listen to Barrichello's interview again before deciding whether to take the matter further.
"Michael Schumacher would admit he's not where he wants to be, " Brawn said.
Barrichello's team boss Ross Brawn said the team are still investigating why the spring came loose from the back of their car.
"Michael has been very intense in terms of his approach, " Brawn said.
BBC: Ross Brawn says top Formula 1 teams are closely matched
"It's made it hard, the second half of the year, " Brawn said.
Brawn said that crisis talks held last Friday were "reasonably productive" and that further meetings were planned at this week's Monaco Grand Prix.
"You saw in the beginning of testing that Ferrari were quite dominant but based on this test the teams are all pretty close, " Brawn said.
BBC: Ross Brawn says top Formula 1 teams are closely matched
In a race that was decided on tyre strategy, Brawn said the Kubica incident proved costly as Schumacher had to pit again two laps later.
The Colombian driver is switching to McLaren in 2005 and Brawn said it could create divisions at Williams if the 2004 championship was a close race.
BBC: SPORT | Motorsport | Formula One | 'Tough times ahead' for Montoya
Speaking on the final day of pre-season testing on Sunday, Brawn said Mercedes, McLaren and Red Bull had all closed in on Ferrari in the last month.
BBC: Ross Brawn says top Formula 1 teams are closely matched
"There are probably only two or three times in my career that I started a season with the same performance advantage as I had last year, " Brawn said.
BBC: Ross Brawn says top Formula 1 teams are closely matched
Team boss Ross Brawn said he regretted not putting Button on a different strategy that might have enabled him to get further up the field early in the race.
Of the current rule on team orders, Brawn said that "everybody could see it would be very difficult to manage in an honest way, and to manage within the integrity that fans expect".
"We were just happy to get to Melbourne, there was nothing left in the cupboard - the car we had in Melbourne is the car we have now, " Brawn said, recalling the team's battle to survive in F1 following former owner Honda's decision to quit last December.
Button's team boss, Ross Brawn, said the team were planning updates to their car for the Spanish Grand Prix at Barcelona's Circuit de Catalunya.
But Brawn, whose team won the drivers' and constructors' world championships last season in their former guise as Brawn, said he believed his team were still lagging behind their rivals.
BBC: Ross Brawn says top Formula 1 teams are closely matched
"I am delighted to welcome Paddy to the team and to begin working together, " said Brawn.
"The primary problem with last year's car was that it produced a lot of downforce but in a very aggressive way, " said Brawn.
"The performance of our car and our tire management were generally good in Canada, however our competitiveness was compromised by reliability problems and mistakes, " said Brawn.
"We have quite a lot of new parts on the cars this weekend and it looks like there may be something there with the floor, " said Brawn.
The Brazilian also said Brawn's championship leader Jenson Button must cope with the "pressure" of leading the title race better if he is to land the 2009 crown.
"I am very proud of this car, " said technical director Ross Brawn.
BBC: SPORT | Motorsport | Formula One | Ferrari take wraps off 2005 car
"Michael drove an outstanding lap, " said Ferrari team technical director Ross Brawn.
"For the manufacturers and the bigger teams I'm sure they don't want that, but for teams like Brawn we need that for the future, " Button said.
The Brawn driver leads the championship by 12 points but he said there was no guarantee he would keep his advantage at the next race in Spain on 10 May.
Brawn refused to criticise Barrichello for Sunday's outburst and said he sympathised with his driver's frustration.
Brawn nonetheless backed Button to finish in the points, but said he hoped the title would be decided in Abu Dhabi.
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