The 18-year-old received burns to 60% of his body including his lungs, throat, face, arms, hands and legs, when an lpg gas bottle he was huffing from exploded five weeks ago.
Jamie's father, Steven Jury, said his son had "come along in leaps and bounds" since the incident which almost killed him.
"He's a fighter. There were a few times when I had given up all hope, but he's coming along," Mr Jury said.
Jamie had received his last skin graft and should have a ventilation tube removed today or tomorrow all going well, Mr Jury said.
The teenager had been kept in an induced coma to keep his body still while it recovered from almost daily skin grafts.
He would be moved from the ICU into the hospital's burns ward.
"Then it will be the long haul of letting the body repair itself," Mr Jury said.
Fellow Mosgiel teenager Brendon McLeod (17), also injured in the huffing incident, was transferred to Christchurch from Middlemore recently.
His condition was less serious than Jamie's.
