Tony Abbott, Australian PM, to face leadership vote Tuesday

Embattled Australian Prime Minister Tony Abbott said he will fight a challenge to his leadership at a party-room meeting next week after disgruntled government lawmakers on Friday sought to oust him following weeks of divisive speculation.

A member of Abbott's ruling conservative Liberal Party, Western Australian MP Luke Simpkins, sent an email to colleagues to announce he will seek a vote on the party's top two positions at a scheduled party meeting in Canberra on Tuesday.

Abbott has faced a torrent of criticism in recent weeks over policy decisions ranging from his handling of the economy to awarding an Australian knighthood to Queen Elizabeth's husband, Prince Philip.

• Tony Abbott facing dissension in party ranks in familiar Aussie script

No member of the government has so far indicated a direct challenge to Abbott, although most media attention has focused on Communications Minister Malcolm Turnbull, a former party leader toppled by Abbott.

Foreign Minister Julie Bishop, deputy leader of Abbott's party, has also been touted as a potential successor but Abbott said she would stand with him.

"I have spoken to Deputy Leader Julie Bishop and we will stand together in urging the party room to defeat this particular motion and in so doing ... to vote in favour of the stability and the team that the people voted for at the election," Abbott said in a brief televised statement.

Bishop issued a statement urging support for the incumbent leadership team.

Opinion polls have consistently shown voters prefer Turnbull to lead the party, but his support for environmental steps against carbon has alienated some on the party's right.

"It's really for Turnbull to put his hand up and whether he has the numbers," said University of Sydney political science professor Peter Chen.

If Turnbull didn't stand, Chen said Abbott's government would likely "trundle towards annihilation at the next election", which is due in about 18 months.

Abbott abandons divisive plans

Financial markets were little moved by the leadership upheaval.

Bookmakers, however, offered short odds on Turnbull claiming the leadership, with Sportingbet having him at the favourite, followed by Abbott and then Bishop.

"There has been overwhelming support for Mr Turnbull and he has attracted more than 80 per cent of bets placed in this market since Monday," said Sportingbet's Andrew Brown.

"Mr Abbott has been friendless and we've barely seen a cent for him," he said.

Simpkins told Sky News he decided to call for the motion based on feedback within his electorate, and not at the behest of other senior party members.

"What people are saying to me is that there is a disconnect and that they don't know what his plan for the future is," Simpkins told Sky News. "They don't know what he wants to achieve, and sadly they're no longer listening."

Turnbull, a former businessman, lawyer and journalist, lost the leadership by a single vote in 2009.

Bishop is well regarded in the party for her performance as foreign minister, particularly for leading Australia's case at the United Nations following the downing of Malaysia Airlines flight MH17 over Ukraine last year.

Removing Abbott would need support from more than 51 of the 102 members of the federal Liberal party at the party-room vote.

In an attempt to assuage critics, Abbott has agreed to abandon some of his most controversial and divisive plans in recent weeks, including reviewing the goods and services tax and scrapping an expensive paid parental leave program.

If Abbott is removed, he would be the third prime minister to lose their job in a party-room mutiny since 2010 and Australia's sixth prime minister in eight years.