David Nicolson, who worked on Jim'll Fix It and Top of the Pops, said he was "revolted" to find the late TV presenter in his dressing room with a girl aged "16, maybe 15", but was told, 'That's the way it goes'.
Nicolson revealed to The Sun how senior BBC staff knew Savile was abusing underage girls, but just said, "That's Jimmy," when it was reported.
"Everyone knew what was going on," Nicolson said. "That includes senior BBC people - chiefs at the highest levels. There were always girls in Jimmy's dressing room. Everyone would have known about it - all the hair and make-up people, the wardrobe, show directors, producers.
"Savile always used to bring scruffy girls into the studios - all teenagers. But no questions were ever asked. In rehearsals for Jim'll Fix It they would be hanging around - and during breaks they would go with Jimmy back to his dressing room.
"Everyone knew what he was doing. It was talk of the town and talk of the BBC that Jimmy loved young girls. The fact no senior people at the BBC are prepared to talk honestly is what has compelled me to talk openly and honestly to The Sun."
The BBC said last night: "We have found nothing at this stage to suggest any known wrongdoing was ignored by management."
Other BBC staff members have also claimed to have known about the abuse, with former BBC Radio 1 DJ Liz Kershaw saying it was part of a sexualised culture.
The Savile abuse allegations first surfaced in an ITV1 documentary, with further claims since emerging, including reports that Savile sexually assaulted patients at Leeds General Infirmary and Stoke Mandeville Hospital.
The BBC has vowed to launch an independent inquiry once the 11 police forces working on the case have finished looking into the allegations.
Savile's gravestone and several memorials have since been removed, while repeats of his shows have been cancelled.