Throughout the court process, Tully always indicated he would appeal its outcome.
A Court of Appeal spokeswoman in Wellington today confirmed that a hearing date of March 12 has now been confirmed.
An earlier hearing scheduled for March 2017 never went ahead.
At his sentencing, Tully alleged a "major cover-up by the Crown" regarding disclosure and evidence, and further claimed he didn't have access to a lawyer.
"If I was guilty and went out and killed two people, I'd take it, and say, 'That was me'. But obviously that was not the case and I refute the accusation," Tully said.
Tully was found to be mentally capable of facing charges of double-murder and attempted murder after an earlier hearing under the Criminal Procedure (Mentally Impaired Persons) Act 2003.
Last year, Tully was interviewed behind bars by a senior detective reviewing the 20-year cold case of murdered Ashburton schoolgirl Kirsty Bentley. Tully, a former local diesel mechanic who grew up in Ashburton, was ruled out as a suspect after police came away satisfied with his alibi.