Jamieson, previously with the squad in India as cover for Tim Southee, will arrive in Bengaluru late on Thursday ahead of Saturday’s pool game against Pakistan.
New Zealand coach Gary Stead said that with Henry awaiting the results of a scan on his right hamstring and fast bowler Lockie Ferguson recovering from an Achilles injury, the Black Caps had to summon cover.
“The severity of Matt’s injury, combined with a short turnaround to Pakistan, meant we couldn’t risk being a bowler down for Saturday,” Stead said on Thursday.
“Matt’s been a world-class performer for us in ODI cricket for the past two World Cup cycles so we’ve got our fingers crossed for the scan results later today,” he added.
“Kyle’s on his way over as we speak and we look forward to welcoming him back into the group,” he said.
New Zealand have been beset by injuries during ICC World Cup 2023 with star batsman Kane Williamson (thumb) and all-rounder Mark Chapman (thigh) both currently sidelined.
The 2019 World Cup finalists endured a 190-run thrashing by South Africa on Wednesday, with Henry breaking down midway through his sixth over.