Jamieson, 28, had been in line to play at least one of the upcoming Tests having not feature in international cricket since June when he initially picked up the back injury in England.
However, scans ahead of the opening match in Mount Maunganui have revealed another fracture and Jamieson will return to Christchurch for further assessment.
“It’s really gutting for Kyle to have this happen after he’d put so much hard work in to getting himself back on the park,” New Zealand head coach Gary Stead said. “Since the injury in June we’ve certainly taken a cautious approach to managing his return with regular monitoring by our medical staff which has included scans.
“While Kyle’s not feeling any pain, the evidence is pretty clear he has a stress-fracture and so he’ll return to Christchurch today and have a CT scan on Friday before we decide on the next steps.”
Jamieson has made an outstanding start to his Test career with 72 wickets at 19.45 from 16 Tests.
New Zealand’s preparations for the first Test have also been hit by the impact of Cyclone Gabrielle causing delays to some players arriving.
Tom Blundell, who recently welcomed his second child will also link up with the side later today, along with Henry Nicholls who had his original flight from Christchurch on Monday cancelled.