Brian Lara's men had their first game of the tour on Wednesday washed out after 48 overs when they played against a Guateng XI in a one-day fixture in Soweto.
Former South African captain Kepler Wessels, who leads the Griquas side, has been ruled out with a knee injury sustained during the Supersport Series match against KwaZulu-Natal's Dolphins.
The Windies will also be spared an onslaught from Barbadian pace bowler Ottis Gibson, who, as an overseas professional, cannot play against touring teams.
Griqualand West squad: Mickey Arthur (captain), Martyn Gidley, Pieter Barnard, Willie Dry, Loots Bosman, Wendell Bossenger, Pat Symcox, Deon Kruis, Garth Roe, Adri Swanepoel, Finley Broeker, Andre Botha, Zahir Abrahim.
In other tour news, all-rounder Lance Klusener now seems certain to miss at least the first Test against the West Indies at the Wanderers on November 26.