Proposed laws to allow terminally ill people to legally end their lives look increasingly likely to pass through Western Australia's Parliament, with the McGowan Government on the verge of having the numbers it needs in the Upper House.

Key points: The Government needs at least 18 MPs in the Legislative Council to support the bill

The Government needs at least 18 MPs in the Legislative Council to support the bill It is understood at this stage 16 MPs will vote yes, with four more leaning that way

It is understood at this stage 16 MPs will vote yes, with four more leaning that way One Nation's Robin Scott will vote yes if he gets more regional palliative care funding

Premier Mark McGowan called on conservative MPs not to filibuster or unnecessarily hold up a vote on the voluntary assisted dying legislation as it was introduced to Parliament.

"It's time for the Parliament to do the right thing by people and families who are going through enormous pain, who are terminally ill," Mr McGowan said.

"Let them make their own decisions on their own futures."

The Government needs at least 18 MPs in the Legislative Council to support the bill for it to pass.

It is understood at this stage 16 MPs will definitely vote yes, while another four are leaning yes and five are undecided.

If passed, the bill will make WA the second Australian state to legalise voluntary euthanasia. ( ABC News: Natasha Johnson )

Palliative care funding becomes big issue

Labor has 13 MPs in the chamber but they have been given a free vote and not all support it.

The four Greens MPs are set to vote in favour of the legislation.

And One Nation MP Robin Scott has made more funding for regional palliative care a condition of his support for the bill.

He said at the moment he was 50-50, but could be swayed.

"My main concern is palliative care for the regions," Mr Scott said.

"If the Government's going to help me with that, then I'm sure I could probably move to see my way through to assisting them to getting this [voluntary assisted dying] bill through."

Health Minister Roger Cook said he had spoken to Mr Scott about the issue and there would be more investment into palliative care, beyond the $41 million in the last state budget.

Roger Cook (left) accepted a report on voluntary assisted dying last month from the chairman of an expert panel, Malcolm McCusker. ( ABC News: Benjamin Gubana )

Mr McGowan also indicated he could be willing to do more.

"Palliative care in the regions is an issue, and that's why we put another $40 million in the budget, and we'll continue to talk to MPs about those issues and hear what their particular interests or asks are," he said.

Senior Liberal MP rules out filibuster

Upper House Liberal MP Nick Goiran, an opponent of voluntary assisted dying, has ruled out filibustering to disrupt the passage of the legislation.

He spoke for 22 hours earlier this year to delay a bill allowing same-sex couples to access child surrogacy technology.

But Mr Goiran said he would not do the same for this bill, labelling the suggestion "ridiculous".

Nick Goiran says safeguards in the bill will not prevent so-called "doctor shopping". ( ABC News: Rhiannon Shine )

He did however echo concerns by the Australian Medical Association (AMA) about the legislation's requirement for two independent doctors to assess eligibility for terminally ill people to end their lives.

Mr Goiran said it would not prevent "doctor shopping", where several doctors are consulted until euthanasia approval is secured.

But Mr McGowan said that was "scaremongering", and Mr Cook was scathing of the AMA's suggestion the bill set the stage "for euthanasia-enthusiast doctors to make WA a centre for the practice with minimal oversights".

He said it was stunning the AMA was essentially saying doctors could not be trusted.