Prime Minister Tony Abbott could have enough support to scrap the carbon tax when the Senate changes over next July.

Mr Abbott is pushing to repeal the carbon tax in favour of his Direct Action plan.

Labor and the Greens are against the move, so in the new Senate Mr Abbott will have to convince six crossbenchers to pass the legislation.

Liberal Democrat David Leyonhjelm, Democratic Labour Party Senator John Madigan and Family First's Bob Day also support moves to scrap the tax, but not all of them back the Coalition's carbon reduction policy.

Billionaire mining magnate Clive Palmer has indicated his party supports the repeal but says its three senators will wait to see all bills before guaranteeing support.

One of the Palmer United Party's Senate seats is in Western Australia, where the result is yet to be declared because of appeals by the Greens and the Sports Party.

Before the election Mr Abbott said he was confident the tax could be scrapped by mid next year, but he will not be able to do it before July unless Labor or the Greens back him or he calls a double dissolution election.

He insists his election victory gives him a mandate to repeal the tax, and last month said Labor would be "committing suicide twice" if it blocked his plan.

Coalition frontbencher Jamie Briggs says his party does not want to wait until next year to scrap the tax.

"This is a major turning point for the Australian Labor Party," he told Sky News.

"If they back the inner city Greens against their traditional base again on this issue, they are going to face an increasing problem as a political movement.

"We are going to force them to make these decisions before July next year."

However, Labor figures have said they will not "cave in" to the Coalition's moves.

Federal Labor MP Stephen Jones says his party must maintain support for a carbon market.

"We'll have a debate inside our caucus and inside our party on that but my very firm view on this is a serious environmental and economic problem and challenge requires a serious economic solution," he told Sky News.

"And what the Coalition are proposing is a Mickey Mouse window-dressing proposition."

Greens leader Christine Milne says the Government should not count on having the numbers when the Senate changes over next July.

"Those new crossbenchers don't have a consistent policy platform, who knows what they're going to vote for, who knows what they're going to ask in exchange," she said.