Independent senator Rex Patrick introduced a bill on Wednesday to establish a commission, following repeated attempts to set up a Commonwealth integrity body.

"Australians are sick and tired of reading stories about sports rorts, about car park rorts and jobs for the boys," Senator Patrick told reporters.

"We're seeing what's happening in NSW, we're seeing what's happening in Victoria, and there is unfortunately corruption with government, with members of parliament.

"There's no logical explanation as to why that wouldn't be the case of the federal domain - we have to deal with this."

While the bill for a federal integrity commission is likely to gain support from the upper house, it is unlikely it will be debated in the House of Representatives.

The government announced in 2018 it would implement a federal integrity commission, but a bill has yet to be presented to parliament following public consultation.

Independent MP Helen Haines said she also intended to reintroduce a proposal in the lower house for a federal integrity commission.

Ms Haines recently met with Scott Morrison over plans for an integrity commission.

However, she said the prime minister indicated the government would stick to its own Commonwealth Integrity Commission model.

"The government's model as it stands is nowhere near adequate, I'm not alone here," she said.

"If the prime minister could step up to the job on integrity, then there are crossbench MPs, members from smaller parties and indeed the opposition who are willing to work with us on this."

Australian Associated Press