The Abbott government wants the carbon tax bills dealt with as a matter of priority in the Senate, but Labor and the Greens could frustrate this.

The fight to scrap the carbon tax could drag out for months in the Senate, with Labor and the Australian Greens indicating they won’t change their stance any time soon.

The package of carbon tax bills will be the first item of business for the upper house on Tuesday but despite the federal government’s wish, no speedy resolution is likely.

Prime Minister Tony Abbott has ramped up the pressure on Labor to stand aside and let the bills through, saying the carbon tax should be history by July.

But Labor still opposes the proposed legislation and the Greens have vowed to do everything possible to stop it going through before the new Senate takes over in July.

“In the meantime, we will be doing everything to stop Tony Abbott getting his own way,” Greens leader Christine Milne told reporters in Canberra on Monday.

“We will vote against what Tony Abbott is trying to do.”

Environment Minister Greg Hunt recently said he was exceptionally confident the carbon tax would be repealed in the first two weeks of the new Senate in July.

Mr Abbott had warned last year he’d keep parliament open until Christmas if the bills weren’t put to a vote before parliament rose, but the threat never materialised.

Labor and the Greens used their numbers in the Senate last year to drag out debate and prevent the repeal legislation from being put to a vote.