The British billionaire told selected journalists at Albert Park that today's announcement was just the first part of the new Brawn collaboration.
"I think, even in the next three to four weeks, we would all like to see this develop into a more complete relationship. We will have to see," Branson said.
The first step - perhaps after next weekend's Malaysian grand prix - will be obtaining permission for a substantially new livery, after a few Virgin logos were hurriedly added to the white and yellow BGP001 car for today's qualifying.
Slightly beyond that, applications for a name change - requiring the agreement of all the teams - are likely, and it’s rumored that some equity may also change hands.
Asked about the possibility of the 'Brawn' team becoming 'Virgin', Branson said: "It is certainly possible."
In the past, Virgin has been courted vigorously by F1 figures including Adrian Reynard and Eddie Jordan, so Branson was visibly delighted with his timing when Jenson Button and Rubens Barrichello dominated qualifying on Saturday to take the first two positions on the track for Sunday’s race.