Gifts and donations that John and Jenny Deaves allegedly received as payment for interviews could be confiscated following a looming Department of Public Prosecutions (DPP) investigation.
South Australian police investigating the alleged proceeds of crime have referred their case for review.
A DPP spokeswoman said court proceedings were not underway but that action by the Confiscations Unit was being considered.
Convicted criminals cannot profit from their crimes under Australian law.
A "fed-up" Ms Deaves, who revealed she shared two children with her father on 60 Minutes in April last year, has denied accepting cash for the interviews but admits being given gifts.
"[60 Minutes] gave us clothing for the filming of the segment, bought food for us, helped repair our vandalised car and moved our furniture when we relocated after the interview," she said.
60 Minutes executive producer Hamish Thomson said he had no comment today: last year, he revealed the show did not pay the Deaves but instead bought them "clothes from Target".
Ms Deaves said she had not been contacted by the DPP.
"I've no knowledge of this investigation and why would [the DPP] be investigating us and have not filed yet anything in the courts?" she said.
"There's no case."
The 40-year-old, who has been counselling four other Australians because of their attraction to family members, said she was being victimised.
"John was told earlier this week he had to report into corrective services more regularly and then 48 hours later the DPP announced an investigation — it seems very strange," she said.
Ms Deaves said she believed her incest conviction was wrong because she, alongside "thousands of others", suffered from Genetic Sexual Attraction (GSA) disorder.
She also slammed Australia's incest laws for being inconsistent.
"Why are the laws so different between states? Why if John and I have sex in SA we get seven years but when we come to NSW it's 20 years?" she said.
"The sexual act doesn't change: if I had sex on the border, half of me is on one side and the other half on the other ... what would happen then?"
Ms Deaves said she would continue working on her own GSA support group and let the DPP "do their thing".
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