Top Gear presenter Richard Hammond, who crashed in a jet-powered car, could be "back to his old self" within six months, according to his neurologist.
Mr Hammond seemed in good spirits as he was moved from a Leeds hospital to another in Bristol, near his home.
Neurosurgeon Stuart Ross said rest could help Mr Hammond recover from his "brain injury" within months.
The presenter was treated for a brain injury at Leeds General Infirmary, after crashing while filming the show.
He was transported to the Bupa hospital in Clifton, Bristol, in the same Yorkshire Air Ambulance which attended the scene of his crash.
The TV star was later seen walking into a waiting ambulance on his arrival in Bristol.
'Old self'
Mr Ross - the presenter's consultant neurosurgeon - said "there is no getting around" the fact that his patient has a "significant brain injury".
However, he said the TV star, who is a married father-of-two, was "doing well".
Mr Ross went on: "There comes a period now which is unfortunately slow and is difficult to get through. But there comes a period when he has to get over the injury.
"He has to rest and allow his brain to recover and that takes time. I'm sure that once that period is over he will be back to his old self."
When asked when that might be, Mr Ross suggested a timeframe of around six months.
Mike Lindley, operations manager at Yorkshire Air Ambulance, said: "His recovery is absolutely remarkable.
"He was sort of talking to the crew, sort of laughing and joking, although he was a bit unstable on his feet."
Mr Lindley estimated he would be nearly back to normal in two or three weeks.