Liberal National Party and the Katter's Australian Party want a probe after the controversial departures of three watchdogs.

Integrity Commissioner Nikola Stepanov and Crime and Corruption (CCC) chairman Alan MacSporran have resigned in the past week, while former state archivist Mike Summerell says he was forced out in March.

Dr Stepanov, who finishes her role in June, and Mr Summerell have both complained of "interference" in their roles.

In response, LNP leader David Crisafulli has written to Ms Palaszczuk asking for a royal commission into government integrity.

"Anything short of a royal commission doesn't cut it," he told reporters on Friday.

"Only a royal commission will get to the bottom of the corruption that is running through the government."

The premier rejected the request, saying Queensland already has an independent agency dedicated to probing corruption.

Ms Palaszczuk said all public servants, officials and politicians had a legal obligation to report graft allegations to the CCC.

"We have a very robust system here in Queensland," she told reporters on Friday.

"We have the CCC, which is essentially a standing royal commission."

The premier also confirmed the CCC was probing a complaint made by the integrity commissioner against the Public Service Commission.

Dr Stepanov said earlier this week that the PSC had confiscated a laptop from her office and later deleted its contents "without my knowledge or consent" last year.

"As these matters are under consideration by the CCC, I'm advised it will not be appropriate for me to comment further," Ms Palaszczuk said.

Meanwhile, the former state archivist said on Friday that he had been forced out of his role back in March.

Mr Summerell left his role, hours after the LNP asked him to probe whether the premier had used any of her private emails, which he was holding, for official government business.

He said was forced out after his role became "compromised" by potential interference, including a lack of support and advice.

"My time as state archivist post-2017 was greatly hindered by what I considered potentially inappropriate interference in my statutory role," Mr Summerell told News Corp Australia on Friday.

At the time of his departure, Arts Minister Leanne Enoch told parliament the archivist decided not to renew his contract.

However, Mr Summerell denies Ms Enoch's version of events.

"I did not actually resign. I was simply told my contract would not be extended," he said.

"My own opinion is that my stance on matters of integrity and the independence of the office of the state archivist were primary factors in that decision."

However, Ms Palaszczuk on Friday claimed the then-archivist was offered a contract extension but declined it.

The premier said Mr Summerell had also "outlined his concerns to CCC" before he left the role and she said anyone with concerns should do the same.

"I absolutely encourage, if anyone suspects any form of corruption, they should make a complaint," Ms Palaszczuk said.

Australian Associated Press