With the budget-cap row in F1 reaching crisis point this week after eight leading teams - including Brawn - announced plans for a breakaway series, sponsorship is a key issue as teams and investors alike wait to see what form of competition goes ahead in 2010.
Branson called for "sense to prevail" and the sport to remain unified as the opposing sides seek a way forward.
"I think it would be a great pity [for them to split]," he said. "Both sides need to sit down and sense needs to prevail.
"There are good arguments on both sides. Certainly the cost base of Formula 1 needs to be reduced and most of the teams seem to agree to that.
"The difference between the two sides needs to be sorted out."
If a split does happen and a rival championship established, Brawn admits his team will need financial support from their cash-rich rivals to thrive.
"There has to be a structure which supports the small teams," said the team chief, whose outfit have no funding in place for 2010.
"I'm confident a system will be in place to provide the funding that teams like mine will need."
Brawn dismissed concern that a new championship made of teams from the Formula One Teams Association (Fota) could not match the financial pull of the historic Formula 1 brand.
"I think the Fota teams are confident that their sponsors will follow them into this championship," he said Brawn.
"They've had discussions with their sponsors and a lot of people see this as a new and exciting opportunity to re-shape Formula One."
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