The father of a former heroin addict, granted a few months to live, has expressed his gratitude to the WA Government for approving to pay for overseas flights to try to save her.

Claire Murray, a 24-year-old mother-of-two, has been told by doctors that she can survive only for few months if she does not undergo a liver transplant. Also, it is revealed that it would be her second transplant after years of drug abuse, including heroin and amphetamines.

"This is a complex and emotional case and the decision not to put Ms Murray back on the waiting list for a liver transplant was made by a team of experts in the field',' Dr Hames said.

Her earlier transplant failed after she again started taking heroin and she has been deemed ineligible for another.

The State Government is revealed to be willing to pay for Ms Murray and her father to fly to New Zealand if he is compatible to give her a third of his liver.

Michael Murray quotes, "As her father I'm prepared to give my life so my daughter will live".

The Health Minister Kim Hames cites that the procedure would cost nearly $230,000 and says he is willing to consider paying for part of it if Ms Murray's father is agreeable.