The Victorian Government's grip on power is under threat after balance-of-power independent Geoff Shaw said he would support a no-confidence motion in the Government or Premier Denis Napthine.

Labor will move next week for Mr Shaw to be found in contempt of Parliament for misusing his entitlements, and former Liberal speaker Ken Smith said he would cross the floor to support the move.

Mr Shaw met briefly with the Premier earlier on Tuesday and issued an ultimatum that he provide him an assurance that he would be protected from any move to oust him.

Mr Shaw also said he wanted a "particular" judicial appointment and when the Premier refused, Mr Shaw withdrew his support for the Government.

The Government relies on Mr Shaw's support to stay in office.

The Premier scheduled a press conference tonight in which he said Mr Shaw's demands were ludicrous and extreme and he would not be backing down.

"Let me assure you that I as Premier and this government will not be held to ransom by Mr Shaw," he said.

"It is now up to Daniel Andrews, as the leader of the Opposition, as to whether he wishes to do a deal with the rogue MP from Frankston, whether he wants to accept the vote of Mr Shaw and how he wishes to proceed."

Sorry, this video has expired Opposition Leader Daniel Andrews calls for meeting with Premier

In a press conference later on Tuesday, Opposition Leader Daniel Andrews said he would be passing the Government's budget, despite the political turmoil.

But he did not directly answer the question about whether he would pursue a motion of no-confidence.

"I'm making it clear to you tonight that the coming days are not for political gamesmanship," he said.

"It is an opportunity for us to get the advice from the Governor to put the interests of our state first.

"This is very much in the Premier's court. I hope he agrees to put Victoria's interests first."

He said he wanted a meeting with the Premier and the state's Governor Alex Chernov to discuss what he said was a "constitutional crisis".

Earlier on Tuesday, Mr Shaw told 774 ABC Melbourne the Premier failed to protect him from a concerted effort to have him pushed out of Parliament.

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"I've sought assurances from the Premier that this will not be allowed to happen so I can serve out my term for the people of Frankston," he said.

"This assurance hasn't been given and really I don't trust them anymore and I'll support a no-confidence motion in the Premier and in the Government."

Mr Shaw's decision to withdraw support for former premier Ted Baillieu was a key factor in his decision to step aside last year.

When Dr Napthine replaced him, Mr Shaw gave the Government a guarantee he would support it in any vote of no confidence.

But he said that agreement was no longer valid.

"The Government has shown that they can't control one of their own," he said.

"It's clear to me that in recent times the Government has encouraged the former speaker to actively consider crossing the floor.

"Both sides have wanted to muzzle me for three years and they just want me out."

Parliament's powerful privileges committee last week cleared Mr Shaw of contempt of Parliament charges, but Labor says it will move to find him in contempt next week with Mr Smith's support.

Meanwhile, Opposition leader Daniel Andrews met with the Governor, Alex Chernov, on Tuesday.

There was speculation the meeting was called to discuss the ongoing crisis involving Mr Shaw.

A spokesman for Mr Andrews confirmed the meeting took place but said it was a scheduled meeting and the contents of the discussion were confidential.

ABC election analyst Antony Green said the Governor could issue a writ for a new election only if a no-confidence motion was passed and a new government was not formed with eight days.

Sorry, this video has expired Antony Green explains Victoria's no-confidence threat ( ABC News 24 )

"The parliament is due to meet next week, if they move a motion on the first day it couldn't be debated until the following fortnight when the Government sits again."

The numbers in the Victorian Parliament are now 43 to the Coalition, 43 to Labor, as well as the speaker and Geoff Shaw.

"If Geoff Shaw is absent then the vote on the floor would be tied and the speaker [can break the tie] to keep the Government in place."

"If the Opposition move a motion, and Geoff Shaw voted with the Opposition, there would be 44 in support of a vote of no confidence and the Government would fall at that point."