The 33-year-old Barbados player, Benn will join the team on Monday at Kochi, the venue for the first ODI. The opening match is scheduled for October 8.
"The withdrawal from the upcoming tour will allow Narine the opportunity to have his action assessed and plan his return to cricket," a WICB release stated.
WICB's chairman of selection committee, Clive Lloyd has expressed disappointment with Narine's removal and the way the matter was dealt with by CLT20 organisers.
"We would like some clarity from the authorities on what led to the present situation and the details as we move forward. I think there must be a better way of doing the right things," he added.
Meanwhile, opener Lendl Simmons, who has a back problem, was rested for today's practice match. Jermaine Blackwood, 22-year-old from Jamaica, has been called in as a cover for Simmons.