No charges for SA attorney-general

South Australian Attorney-General Vickie Chapman will not face charges over her comments in relation to a secret anti-corruption inquiry.

Police recently investigated Ms Chapman for a potential breach of the Independent Commissioner Against Corruption Act after she released details of an ICAC probe in September last year.

Under the act, it can be an offence to reveal details of an ICAC investigation before court action is launched unless the commissioner gives permission.

The police report on Ms Chapman's conduct was presented to the Director of Public Prosecutions for further consideration.

Police Commissioner Grant Stevens says a response from the DPP has now been received and no further action will be taken.

"As a result of the advice provided through the office of the Director of Public Prosecutions there will be no further investigation or other action taken in relation to the matter involving the attorney-general," Mr Stevens said.

Earlier on Monday, Premier Steven Marshall revealed that police had not recommended Ms Chapman be prosecuted, as he defended a question he posed to the police commissioner on Sunday.

"I asked the commissioner was there a recommendation made for prosecution, and the answer was no," the premier told reporters.

But Opposition Leader Peter Malinauskas said it was "highly inappropriate" for the premier to have spoken to the police commissioner about the case.

Mr Malinauskas previously described the referral to the DPP as an "unprecedented crisis" and called on Ms Chapman to step down while the investigation was underway.

Mr Marshall said if Mr Stevens had been in any way uncomfortable with his inquiry, he could have declined to answer.

"It is ludicrous to suggest that a premier can't ask a police commissioner a question of process," he said.