The umpires handed over their report, which cited concerns over a number of deliveries they felt needed to be examined further, to New Zealand's team management and Williamson will have 21 days to undergo testing by the ICC.
He will still be able to bowl during the third test in Barbados, which starts on Thursday.
The three-match series is tied 1-1 after West Indies cruised to a 10-wicket victory on Friday in Port-of-Spain.
(Reporting by Greg Stutchbury in Wellington; Editing by Sudipto Ganguly)
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