Queensland's controversial Chief Justice Tim Carmody is taking a month's sick leave from Monday.

A statement from the court says Justice Carmody will be unavailable to preside in court while he seeks specialist treatment for an ongoing back problem

Justice Carmody has been plagued by sustained criticism from the judiciary and legal fraternity since his appointment by the Newman government ahead of other, longer serving judges.

Just recently the head of Queensland's Court of Appeal, Justice Margaret McMurdo said she would not sit with him in any court.

Premier Annastacia Palaszczuk this week said she was not considering parliamentary intervention to end a feud in the senior ranks of Queensland's judiciary.

Last week Justice Carmody withdrew from hearing the appeal against the conviction of Daniel Morcombe's killer, Brett Peter Cowan, amid accusations of bias.

Cowan's legal team argued that a meeting between Chief Justice Carmody and child protection advocate Hetty Johnston in April, during the appeal process, was grounds for the state's top judge to be disqualified from the case.

But in his comments delivered to the court on May 7, Chief Justice Carmody said Justice McMurdo had also raised concerns about the perception of bias or prejudice from him in the Cowan appeal.

While Chief Justice Carmody said the accusations had no merit, he removed himself from the case.