The all-rounder is a doubtful starter for Friday's day-night match against Sri Lanka due to the recurrence of a back problem.
The 31-year-old Styris had missed the opening match against South Africa with a hamstring twinge.
He was declared fit only days before the side's departure to India after recovering from a back injury sustained during his stint with English county side Middlesex.
"Ross is not joining the official tour party. He is on stand-by and will arrive on Sunday," team spokesman Lindsay Crocker said.
New Zealand, winners in 2000, also have injury concerns over strike bowler Shane Bond.
The 31-year-old fast bowler missed the opening match, which New Zealand won by 87 runs, due to a back problem.
Taylor is a 22-year-old hard-hitting batsman from Central Districts, and played two one-dayers against West Indies at home in March.
