Bryan Cooper has been been transferred to Frenchay Hospital in Bristol after undergoing what was described as successful surgery on Thursday.
Cooper, who is retained rider for powerful Irish owners Gigginstown House Stud, broke his leg when he fell at the second-last flight aboard the Gordon Elliott-trained Clarcam in the Fred Winter Juvenile Handicap Hurdle at Cheltenham on Wednesday.
He was operated on at Gloucester Hospital but will require further treatment in Bristol.
A update from Cheltenham read: "The jockey would like to thank Mr Chris Curwen and Dr Tom Perris and all the doctors at Cheltenham Racecourse.
"He has now been transferred to Frenchay Hospital in Bristol for further surgery."
Irish Turf Club senior medical officer Dr Adrian McGoldrick reported Cooper to have suffered a "very complex" fracture.
He said: "Bryan suffered a very complex fracture to his leg.
"He's in very, very good hands and is being treated by one of the best surgeons so we are pleased about that."