Attorney-General Christian Porter has opened the door to talks on a federal corruption watchdog, as the minority Morrison government comes under pressure from an expanded and emboldened crossbench.

Independent MP Cathy McGowan is preparing a private member's bill to establish a federal anti-corruption body, backed by fellow crossbenchers Rebekha Sharkie and the incoming member for Wentworth, Kerryn Phelps.

"This is the worst area to engage in policy on the run": Attorney-General Christian Porter. Credit:Alex Ellinghausen

Queensland crossbencher Bob Katter - whose vote the government may come to rely on in the hung Parliament - told Fairfax Media on Friday afternoon he was also open to the idea.

"I'm undecided. I'm not saying I'm going to oppose it, I'm not sure. We'll discuss it," he said.