Published Tuesday, 07 August 2012
The story came to light when unauthorised biography Sweet Revenge: The Intimate Life of Simon Cowell, by Tom Bower, was published earlier this year.
The book suggests the pair became romantically involved after they both appeared as judges on the U.K. version of The X Factor between 2007 and 2010, and Minogue has now commented on the reports for the first time.
She tells Britain's Glamour magazine, "I haven't read the book, but I've been told about the excerpts that relate to me, and the speculation about my private life.
"From what's been reported they put hundreds of hours into making this book, and Tom is a respected journalist. I'm sure it makes for a great read and I wish them all the best."