LNP wants Qld parliament recalled early

"There are questions that must be asked and there are questions that must be answered," he told reporters on Wednesday.

His call comes after Premier Annastacia Palaszczuk ordered her department's director-general Rachel Hunter to probe allegations by former archivist Mike Summerell that he was told to remove "damaging" sections of his annual reports.

"She will have a look at the allegations that arose today, and she will do that as the head of the public service in Queensland," Ms Palaszczuk told reporters on Tuesday.

Mr Summerell said he felt pressured to leave his role in May when current housing minister Leeanne Enoch offered him a three-month extension on his five-year contract.

Ms Palaszczuk has also appointed former judge Tony Fitzgerald to review the state's Crime and Corruption Commission structure and functions following a 2019 probe into Logan Council in which charges were eventually dropped.

"The premier is willing to subject the CCC to a full-blown inquiry and does not want one iota of scrutiny on the actions of the government," Mr Crisafulli said.

Former CCC chair Alan MacSporran's resignation came days after news broke that Integrity Commissioner Nikola Stepanov would step down from her role later this year.

The CCC is separately probing allegations the Public Service Commission took a laptop from Dr Stepanov's office and wiped its contents without her knowledge or permission last year.

The LNP leader said there could be a conflict-of-interest in Ms Hunter's investigation into the PSC.

"The premier's director-general is also the acting chair of the Public Service Commission," Mr Crisafulli said.

"It's the Public Service Commission that's alleged to have gone in, taken the laptop and erased it, so I'm not quite sure if the premier understands the magnitude of this."

Katter's Australian Party and Greens MPs have backed a broader inquiry after the resignations of Dr Stepanov and Mr MacSporran.