Ms Kaye said she was looking at ACC entitlement cases within the next three to six months and would include asbestos exposure.
"I have had some advice and am aware of the legal issue and I am going to look at this with regard to the law," Ms Kaye said.
"We know more and more because of medical research so this would be a case of looking at medical advances and if the law is still fit for purpose.
"Gradual process has been an area where there have been a range of developments. We have to make sure we don't stand still and ensure it fits the purpose.
"I'm definitely going to have a look at it."
When the law was written doctors believed only long-term exposure to asbestos caused harm, explaining the link to work in asbestos-exposed industry. Medical advances have revealed there is no safe level of asbestos exposure.
Ms Trevarthen returned to work part time this week to help save for expected medical bills of up to $200,000 for life-extending treatments additional to six courses of government-funded chemotherapy.
Ms Trevarthen's partner, Greg Robertson, said ACC legislation written in 2001 had let them down.
"The system has fallen down for us so essentially we are in a position where family may be called upon and houses mortgaged," Mr Robertson said.
"It is the first time Deanna has ever needed help, and it just isn't there. I'm disappointed in this country."
Stephanie Melville from ACC said the decision to withhold cover had been made in accordance with the legislation.
"We have contacted Deanna and Greg to fully explain the decision so they have both context and disclosure of the decision-making process," Ms Melville said.
"We've also given Deanna a full copy of her file to review."
Mr Robertson said Ms Trevarthen had returned to work three days a week but "was struggling".
"She is exhausted all of the time and all of her energy is going into maintaining weight, she has gone from 64kg to 48kg," Mr Robertson said.
He said she was working despite a tightening pain "like wearing a glove that is too small" in her chest.