Former Australian Home Affairs Minister Peter Dutton speaks to the media during a news conference at Parliament House in Canberra, Australia, August 21, 2018.
"He has given me his absolute support", Turnbull said of Dutton.
One said a leadership challenge was a strong possibility next month even if it did not come on Tuesday, saying: "If it's going to be on it will be on in September".
Australia's recent political roundabout is highlighted by the fact that it has changed leaders five times since 2007, with none lasting a full term in office.
Indeed, there was something verging on the unsettling to witness a smile creeping across the familiar death's head of this scourge of asylum seekers, Minister for Immigration and Border Protection from 2014 till 2017, and all-powerful Minister for Home Affairs from a year ago to this day.
"This has all been around for a week - it's not something we've made up in response to the issues about leadership", she said.
Australian Prime Minister Malcolm Turnbull says his government has abandoned plans to set an emissions reduction target in legislation.
Before the ballot, Environment Minister Josh Frydenberg had warned government colleagues that they would lose popularity if they dumped Mr. Turnbull. He didn't specifically rule out challenging the prime minister again.
According to The Australian, multiple MPs called Mr Peter Dutton over the weekend to promise their support, should he choose to challenge Mr Turnbull.
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Finance minister Mathias Cormann said he had not heard any talk of some conservatives urging Dutton to challenge.
The party can change their leader at any time, although until recently it was highly unusual for a sitting prime minister to be removed from power.
A stymied effort to cut corporate taxes, a citizenship crisis that cost a number of lawmakers their seats, and his perceived arrogance as the so-called "Mr. Harborside Mansion" of Sydney have all weighed on Turnbull's popularity with voters.
"In politics you have to focus on what you can deliver", Turnbull said.
Mr Turnbull's risky move may have backfired as it exposes the weakness of his position and the size of the split between the two factions of the Liberal Party.
While stopping short of following the lead of U.S. President Donald Trump and withdrawing from the global climate accord, Australia removed requirements from its National Energy Guarantee plan that would have mandated that greenhouse emissions from its power industry decrease by 26 percent from 2005 levels by 2030.
"I have been on the frontbench for 14 years and have served four Liberal leaders loyally including Malcolm Turnbull", Mr Dutton said.
Despite his public silence, it is understood that Dutton on Friday privately told Turnbull that he was comfortable with the government's energy policy.
"Definitely had enough of this, I think that it's bad for the stability of the nation", said law student Renata Labio. It is a political sore point for Turnbull, as he lost the Liberal leadership to Abbott in 2009 for backing emissions trading. "Our job is to work for the people who put us here".