India wicketkeeper Wriddhiman Saha had to be substituted on Saturday, the third day of the first Test against New Zealand at Green Park here, after he developed a stiffness in the neck.
The Board of Control for Cricket in India (BCCI) said its medical team was monitoring Saha's progress and that KS Bharat would be keeping wickets in his absence.
The statement did not mention when Saha would be able to return to keep wickets.
Saha has made one run in India's first innings before he was caught by wicketkeeper Blundell off the bowling of Tim Southee.
Earlier on Friday, Shreyas Iyer had struck a hundred on debut to prop up India but a five-wicket haul by Tim Southee followed by half-centuries by openers Will Young and Tom Latham helped New Zealand sit on top at the end of day two.
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After India were bowled out for 345, New Zealand were 129/0 in 57 overs at stumps, trailing the hosts by 216 runs.