The transcript of the provocative phone call was released by People in 1993, two years before the Princess of Wales' infamous BBC Panorama interview with Martin Bashir.
The Queen's son is heard saying: "Oh God. I'll just live inside your trousers or something. It would be much easier!"
Camilla, then married to Andrew Parker-Bowles, jokingly replied: "What are you going to turn into, a pair of knickers!? Oh, you're going to come back as a pair of knickers."
"Or, God forbid, a Tampax. Just my luck!" Charles laughs.
Princess Diana, who was living at Kensington Palace at the time the scandal broke, was said to have declared "Game, set and match" over the release of the tape.
Author Tina Brown told Vanity Fair magazine that Charles - the eldest son of Queen Elizabeth and Prince Philip, Duke of Edinburgh - was under "intense pressure to marry the right girl" not only from the royal family and the public, but also from Camila herself.
Ms Brown said the Prince of Wales liked to "confide in married women", and speculated that Camilla supported the idea of a marriage to Diana because she felt the "meek" Lady Spencer would not interrupt her existing friendship with the future monarch.