He followed up by promising that his own Virgin Galactic company would have a rocket in space, with passengers, "within weeks, not months".
"And then we will be in space with myself in months and not years".
He said the firm would be taking people into space "not too long after" that.
Richard Branson, chairman of Virgin Airlines, in 2016.
As far as Branson's personal trip to space is concerned, the 68-year-old billionaire business magnate is reportedly undergoing astronaut training - with centrifuge simulated microgravity and fitness training, according to an interview with BBC Radio 4's You and Yours program. His training includes extensive tennis and cycling.
Virgin Galactic aims to launch the first commercial passenger flight into space and is in fierce competition with the American space company Blue Origin. "And it is up to us to produce as many spaceships as we can to cater to that demand", he added. Its main focus is on private touristic space travel from a spaceport in New Mexico, but it is also laying the bureaucratic groundwork to launch both research and private missions from Italy.
He reached an agreement with USA regulators last month to step down as Tesla chair and pay a $20 million (£15 million) fine for what the Securities and Exchange Commission called "false and misleading" claims.
"If I have a room full of 10 people, eight out of 10 would love to go to space if they could afford it", he said. "I love life, I love people, I love learning, and I love the variety of what I do", said the man who describes himself on his Twitter profile as a "tie-loathing adventurer, philanthropist and troublemaker who believes in turning ideas into reality".
The next step for the aspiring space tourism firm is get its newly revamped SpaceShipTwo spaceplane to burn its rockets for a prolonged period, allowing the craft to travel faster than before and reach a peak altitude of about 110km.
The previous test flight was successfully conducted in the Mojave desert a few months ago, and the goal of a billionaire are test flights as quickly as possible to get to space.
Sir Richard also revealed this week that his space venture is "weeks away" from sending one of its rockets into space for the first time.