Prime Minister Malcolm Turnbull has ruled out establishing a national anti-corruption body to help pass the government's Australian Building and Construction Commission Bill, its potential trigger for a double-dissolution election.

He also rebuffed on Sunday suggestions that ousted former Prime Minister Tony Abbott would impede the Coalition's election campaign, saying he is "utterly undistracted" by the ousted former leader's ability to generate headlines.

Mr Turnbull has threatened to hold a double dissolution election on July 2 if the Senate maintains its opposition to the Australian Building and Construction Commission Bill in the April parliamentary session. The bill, which aims to re-establish a Howard-era construction industry watchdog, has been used to attack Labor on union corruption after the Royal Commission into trade unions.

The government needs the support of six of the eight crossbench senators to pass the bill, with both Labor and the Greens opposed.

Palmer United Senator Zhenya "Dio" Wang has suggested establishing a broader national corruption body that would uncover graft in all industries, modelled on NSW's Independent Commission Against Corruption (ICAC), with independent Senator Glenn Lazarus saying he would only vote for the bill if it was widened.