Magistrate Robert Cook lifted a ban on Tuungafasi Manase, 29, from travelling outside the ACT.

Reporting conditions were also altered to allow Manase to visit his terminally ill father in Sydney on weekends.

Manase is on bail from the ACT Magistrates Court on a charge of intentionally giving evidence that he knew to be false or misleading during a commission hearing.

His defence lawyer, Toni Tu'ulakitau, indicated his client would plead not guilty to the allegation.

Prosecutors are still yet to tender documents outlining the allegations in court.

Manase gave evidence on the second day of the Canberra hearings of the royal commission in July.

His boss, formwork contractor Elias Taleb, had told the commission he had paid former construction union organiser Halafihi "Fihi" Kivalu about $135,000 to guarantee he won contracts.

Kivalu has pleaded not guilty to two charges of blackmail in relation to the claims.

Mr Taleb gave the commission a note – allegedly written by Manase - that contained a list of alleged bribes paid to Mr Kivalu. But Manase, while giving evidence before commissioner Dyson Heydon, denied being the author.

Mr Heydon warned Manase of his duty to be truthful and warned of the consequences before ordering the defendant write on a piece of paper so his handwriting could be compared to the original note.

Weeks later, Manase was arrested and charged.

The matter will return to court on October 19.