"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 told CNBC.
"We will be in space with people not too long after that so we have got a very, very exciting couple of months ahead", he added.
But while Sir Richard believes Musk is "doing fantastically well" in getting cargo into space - including his own auto - the real tussle is between the Virgin boss and Bezos.
Branson's bold claims signal that Virgin Galactic may once again be a serious contender in the current space race with SpaceX, Boeing and Blue Origin. Within a few minutes, passengers will experience weightlessness.
The 68-year-old, who is also chairman of Virgin Galactic, remains convinced that the billions of dollars that have been pumped into the research, development and testing of the spaceships is a sound investment.
Supercharged overnight, Hurricane Michael menaces Florida
Any time a tropical system, and it's remnants, move north up the East Coast we need to be concerned here in ME for wind and rain. Florida Governor Rick Scott said Michael was expected to be "the most deadly, destructive storm to the Panhandle in decades".
"I think the market for people who would love to become astronauts, and go into space is enormous, and I think it's up to us to produce as many spaceships as we can to cater to that demand", he said.
Virgin Galactic has so far this year completed three successful rocket-powered test flights of its latest SpaceShipTwo plane, VSS Unity, but the vehicle has yet to be tested at the target altitude of 62 miles.
The Virgin Galactic boss has been investing in space travel since 2004 and he had hopes that he would be able to go to space himself sometime before April of this year. Since then, the company has already enlisted around 800 passengers who paid $250,000 United States dollars each for a return ticket on the Virgin Galactic.
The reusable New Shepard rocket and spacecraft is meant to carry up to six space tourists, researchers and/or experiments on brief suborbital flights, the company has said. "He shouldn't be getting very little sleep", Branson told CNBC when asked what advice he would give his fellow billionaire.
Blue Origin, owned by Amazon founder Jeff Bezos, has said it aims for test flights by the end of 2018.
Saudi prince allegedly ordered operation on Khashoggi
The officials wanted to bring him back to Saudi, the Post reported, citing an unidentified official familiar with the situation. White House spokeswoman Sarah Huckabee Sanders added that the U.S. would continue to inquire about the fate of the journalist.
Turkish paper publishes photos of Saudi 'squad'
Amid growing calls within the USA and around the world for Saudi Arabia to investigate Khashoggi's disappearance, Republican Sen. Jamal Khashoggi , 59, went missing while on a visit to the consulate in Istanbul for paperwork to marry his Turkish fiancée.
Flash floods in Spain's Mallorca kill 9, many missing
He said: "My solidarity and support goes out to the families and friends of victims and all the affected by these tragic floods". Nadal also announced on social media that his tennis academy on the island would offer shelter to people affected by the floods.
Technical glitch hobbles Hubble Space Telescope
For now, NASA hasn't offered any timeframe on when can we expect Hubble Space Telescope to come back into operation. Hubble was built with six gyroscopes created to keep the telescope pointed the same way for long periods of time.
West Indies 94/6 at end of 2nd day's play of Rajkot Test
Scoring a century on the very first day, the very first innings of his career, Prithvi Shaw etched his name in the record books. England will have to win the away series against Sri Lanka, starting October 10, to retain their number one ranking.