Fairfax reported on Wednesday that the 50-year-old is awaiting treatment in New York, where she currently lives with husband and one-time Divinyls drummer Charley Drayton.
Amphlett was diagnosed with Multiple Sclerosis several years ago, a condition which she said would make tackling the cancer more difficult.
“I can’t have radiation and things like that. But I have the best people here,” she told the Sydney Morning Herald. “And right now, the MS isn’t even bothering me – it’s the least of my problems. But I’m strong and I will get over this.”
Amphlett revealed that her sister is a breast cancer survivor and said she felt more sorry for people suffering the disease alone than she did for herself.
The singer had recently been concentrating on her solo career, years after becoming a poster girl of Aussie rock in the 1980s and `90s with The Divinyls.
The band became a household name thanks to their 1991 international smash I Touch Myself, which went to number one in Australia.
Inducted into the ARIA Hall Of Fame in 2006, The Divinyls split up one year later.
Read more: Music from the motherland