Henry suffered an injury to his right shoulder during the semifinal of the recent ICC Champions Trophy in Pakistan. He hasalso been managing an ongoing right knee issue.
Twenty-two-year-old Canterbury quick Zak Foulkes had been called up to replace Henry for the first three matches in the series and will now remain with the national side for the final two matches.
Tall fast-bowler Will O’Rourke will join the squad for the final two matches in place of Kyle Jamieson.