The 'Better Than Today' star was speaking to Australia's The Morning Show when she described a visit to a children's ward she made while ill.
The Sun reports that Minogue told the programme: "I was talking to some parents across the other side of a bed and their child was there.
"I was saying the things that I would normally say in that situation, just making conversation with the child, with the parents, giving them some support as well, and then they really caught me off guard. They just eyeballed me and said 'How are you?' and 'We hope you get through it' and it's like..."
The paper claims that at that point the 42-year-old struggled to speak and had to leave the set when reporter Molly Meldrum highlighted how her illness had encouraged women to go for breast cancer screenings.
When she returned, she added: "The reason that that gets me - and the greatest part of my job and what I do - is the humanity of it and there's certain moments where that really cuts through."
Earlier this week, Minogue confirmed that she has now celebrated her fifth year in remission.