He sent in an application to the now closed Peacock Centre in Manchester to work as a teaching assistant.
The centre dealt with troubled youngsters and tried to help them back into main-stream education.
He applied for the job with the city’s Department of Education back in 2007.
Teret – known as Ugly Ray – was mentored by Savile in the early days of his career and was described as following him around “like a shadow”.
The ex-Radio Caroline presenter, 73, used his celebrity status in the Manchester club scene in the 1960s and 1970s to prey on his under-age victims who were between 13 and 15.
Last week he was sentenced to 25 years behind bars after a jury found him guilty of seven rapes and 11 indecent assaults which took place between 1963 and 1979.
The centre he applied to has only recently been demolished.
Greater Manchester Police are now investigating fresh sex allegations against Teret made by four other women.
Detective Chief Inspector Graham Brock said: “Since his trial began, we have received four new complaints about Teret and our officers will now be investigating these fresh allegations. For obvious reasons I cannot go into great detail about those complaints.”
Common themes in Teret’s offences was the selection of young girls who were both “physically and emotionally immature”.
Teret, of Altrincham, who denied all the charges, told the jury he had no interest in underage teenage girls, despite a previous conviction for sexual intercourse with a 15-year-old girl in 1999 – which he said was a miscarriage of justice.
Teret was cleared of aiding and abetting Savile to rape a 15-year-old girl in the early 1960s but was found guilty himself of raping the same girl.
Teret was sentenced to 25 years for seven counts of rape, 18 months for five indecent assaults and 12 months for six indecent assaults, all terms to run concurrently.