West Australian Premier Colin Barnett has dismissed talk of a leadership spill, saying he has got unfinished business and will not be going anywhere.

Mr Barnett was responding to the resignations from the frontbench of ministers Dean Nalder and Tony Simpson, who both said they had lost faith in the Premier's leadership.

Some MPs have been pushing for a spill at the Liberal partyroom meeting on Tuesday, but Mr Barnett indicated that seemed unlikely at this stage.

"There is no challenger to my knowledge and there has been no challenger to my leadership in over eight years," he said.

"I am leader, I am the Premier of Western Australia and I intend to stay there.

"There is something orchestrated about this. I don't what the plan or plot is, but I simply get on with my job and that's what I am doing.

"Two ministers have resigned, two new ministers will be appointed."

Mr Barnett said he was at a loss to explain why Mr Nalder would walk away from the opportunities "gifted to him".

"With respect to Dean, can I say he has only been a minister for a little over two years," he said.

"He is a first-term member of Parliament. Came with a big reputation and indeed I gave him extraordinary opportunities."

Barnett rejects bullying allegations

Mr Barnett said he was disappointed by allegations made by former minister Helen Morton about bullying in his office.

She accused staff in the Premier's office of bullying, intimidating and demoralising ministers, but would not name those responsible.

In explosive comments, Mrs Morton, who was dumped from the ministry in March, said she did not support Mr Barnett's leadership and it was clear that neither did voters in marginal seats.

She said both Mr Nalder and Mr Simpson, who have both quit Cabinet in the past two days over Mr Barnett's leadership, had been subject to threats from the Premier's office.

Helen Morton was relegated to the Government's backbench earlier this year. ( ABC News: Andrew O'Connor )

"I don't normally seek out the media, I'm absolutely distraught at the revelations over the past two days," she said.

"Tony Simpson, as everybody has said ... he's honest, genuine, most liked ... and hardworking in his electorate.

"I rang Tony and found out that he's also been subject to behind-the-scenes accusations and demoralising behaviour from people who work in the Premier's office and that's what I'm distraught about."

Mrs Morton said, as a minister, she had to ban staff from the Premier's office having contact with her office and staff because of their "demoralising and destructive influence on her office".

"I don't believe that we should burn our marginal seat holders if a change of leadership will actually make a difference," she said.

She said marginal seat holders were all being told by their electors that they wanted a change of leadership.

"So the question for me comes down to, do we burn them or do we burn the current leadership to win government and for me I go with getting behind the backbenchers ... and winning government with them on our side," Mrs Morton said.

She accused the Liberal Party of not providing "reputable polling by electorate" to give MPs a sense of how the Government was travelling with voters.

She said the only reputable polling had been done by a group of businessmen, including property developer Nigel Satterley and investment banker John Poynton, and that had been disputed by Mr Barnett.

That polling of almost 11,000 voters showed the Government on track to lose the election.

But Mr Barnett heaped criticism on the results and the businessmen behind the poll, saying it amounted to "almost a silent coup and [was] totally against the principles of democratic government".

Spill motion would fail: Deputy Premier

Deputy Premier Liza Harvey has been repeatedly mooted as a possible replacement for Mr Barnett, but again today voiced her support for him.

"I absolutely would not be supporting a spill motion and I think it's highly unlikely a spill motion would be put forward," she said.

"The vast majority of the Parliamentary Liberal team has been behind the Premier throughout this entire situation."

She said the party's problems were due to a small number of disaffected, disgruntled MPs.

Ms Harvey believed any spill motion would fail and MPs needed to refer to "Politics 101".

"You don't put forward a spill motion if you don't have the numbers to support it," she said.

Opponents told to 'bring it on'

Liberal MP and speaker of the Legislative Assembly Michael Sutherland said the Premier had his full support.

Mr Sutherland said the latest polls were in Mr Barnett's favour, and he thought his colleagues would have been happy with the way the party was tracking.

But he said the leadership issue had been bubbling for a while and it was time for Mr Barnett's opponents to "put up or shut up".

"I think they should bring it on, on Tuesday and see how the numbers pan out," he said.