The 19-year-old Joseph has performed outstanding bowling feats for the U-19 side where he snared 13 wickets to lead West Indies to their World Cup title in Bangladesh.
No other changes have been made to the Jason Holder-led squad which looked inexperienced against India's supermacy in the first game as they were thrashed by an innings and 92 runs.
Joseph, who has taken 24 wickets from 8 first class games, bowled the fastest ball in the ICC Under-19 youth World Cup at 91.5mph and consistently hovered around the high 80s-90mph.
"We feel that Alzarri, who led the attack so expertly in the ICC Youth World Cup earlier this year in Bangladesh, will now benefit from the professional guidance of our coaching staff and the presence of fast bowling legend Joel Garner as manager," said Courtney Browne, chairman of the West Indies selection panel.