Gaffney (pictured), who is an MLC for the electoral division of Mersey, told The Examiner newspaper that work was continuing on a draft bill despite the Coronavirus crisis.
He cautioned, however, that priorities for the Parliament would be dictated by the efforts to combat the pandemic.
Gaffney released a draft bill for public consultation in February, with hopes to table it in parliament in August.
"I will continue working on the bill, however, under such circumstances issues will need to be considered and progressed in the best interests of all Tasmanians," he told the Examiner.
"I have really good communication channels and links with many individuals and organisations.
"Those conversations will continue in the background, but obviously in light of the current anxiety in the community, it will be done sensitively."
He said the pandemic should not stop the process of law reform.
"Those in the community who are suffering intolerably with a serious, incurable and irreversible, disease, injury or illness I still believe deserve the right to choose and I will be introducing legislation when appropriate."