Malcolm Turnbull's future will be decided by his colleagues next Tuesday morning when the party will meet to consider a push led by Tony Abbott to hold a leadership spill.

The party is in crisis after mass resignations yesterday in protest against Mr Turnbull's decision to back the Government's emissions trading scheme (ETS).

The Government is also heaping pressure on the Coalition after the Senate failed to vote on the legislation today, opening speculation about the possibility of a double dissolution election.

Ten MPs and senators, led by Mr Abbott, want to move a motion for a leadership spill at 9:00am next Monday morning, with Mr Hockey and Mr Abbott emerging as possible replacements.

But Mr Turnbull's office has confirmed the party will meet on Tuesday morning at 9:00am to consider the motion.

The meeting will be held one day after the Government is hoping to get its ETS legislation through the Senate, as it sits all day Monday.

It will be the second motion held for a leadership spill in less than a week after a move last Wednesday failed.

Senator Nick Minchin - who also resigned yesterday - was this afternoon demanding Mr Turnbull agree to Mr Abbott's demand.

"Given that someone like Tony Abbott and nine of his colleagues have requested a meeting at 9:00am on Monday to consider the question of the leadership it is incumbent on the party to have that meeting at 9am," he said.

But climate change spokesman Ian Macfarlane says the timing of the meeting is Mr Turnbull's prerogative.

"I've told Malcolm Turnbull he has the numbers and it's his call," he told PM.

"And Malcolm says he will never walk away from a fight."

Mr Macfarlane also called on the climate change rebels to "show some honour" and let the deal go through that was agreed in the party room earlier this week.

"Are we going to have a spill every day or is it more sensible to do the job that is in front of us and keep our word with the Australian people?" he said.

"It's up to him when the meeting is held and, to be fair, it's also up to some of the members, all of whom have gone back to their electorates."

'Honour the agreement'

The Senate will sit on Monday but still has about 250 amendments to debate.

Deputy Prime Minister Julia Gillard has urged the Opposition to honour the agreement Mr Turnbull made with the Government.

"And if they fail to honour the agreement then that will tell you that they have been conquered by the sceptics and deniers in their ranks," he said.

"Mr Turnbull has shown great courage and great determination to deliver this change in the nation's interests."

But Ms Gillard would not speculate on whether today's lengthy debate or a Coalition move to defer the legislation to a committee would give the Government a double dissolution trigger.

"We are not focused on anything other than delivering the Carbon Pollution Reduction Scheme through the Parliament," she said.

She also refused to be drawn on whether the Government would move to gag debate and bring on a vote on Monday.

Mr Turnbull has warned that if his party does not pass the scheme, it would face being wiped out at the next election.

If Mr Turnbull is deposed it is unlikely the ETS will clear the Senate this year.