Police are currently investigating up to 120 separate lines of inquiry with regard to alleged abuse of young girls by the late presenter, with Scotland Yard saying that there could be up to 25 victims spanning a period of 40 years.
Though Savile's alleged behaviour has only been widely reported following his death in October 2011, such claims were briefly touched upon by Louis Theroux in a 2000 documentary aired on the BBC.
The Mirror has now republished a radio interview for Irish station Newstalk conducted just five years ago, in which Savile says he has "never heard" allegations of abuse and dismisses the makers of Theroux's programme as "shock jocks".
"When you get a documentary like that what they do is they keep prodding you, and what they hope is that you'll fall out with them," he is heard saying. "They think that makes good television, but it doesn't.
"A lot of people... try and shock people into losing their temper, but they didn't get up early to do that with me and the only person who came unstuck on that was Louis."
Asked if he wants to deny the suggestions made by the documentary, Savile replied: "What's the point of responding to something if it's not true. You don't do it.
"If anybody says things like that there's no problem because all you can expect from a pig is a grunt."
The BBC has said that it intends to launch its own investigation into Savile after the police inquiries are completed.
The 84-year-old's family this week requested that his £4,000 gravestone be dismantled "out of respect for public opinion".
New! Digital Spy breakfast show - watch Anna Williamson discuss the day's biggest stories including Robbie Williams's tour, the Girls Aloud reunion and more: