Reifer, however, will remain with the squad in Trinidad as an injury cover.
Sinclair, the 23-year-old Guyana player, has a decent first-class record, where he has snapped up 54 wickets in 18 games at an average of 23.98, with a best of 6 for 33. He has also scored 756 runs at 29.07, which includes six half-centuries.
The rest of the squad was unchanged, with Kemar Roach, Alzarri Joseph, Shannon Gabriel and Jason Holder forming the fast-bowling department. Rahkeem Cornwall, who was off the field for a while in the first Test because of a chest infection, has been retained, and so has left-arm spinner Jomel Warrican.
On the batting front, without Reifer, who batted at No. 3, the rest of the batters could move up one place each, with Sinclair possibly slotting in below Holder at seven. Unless there is a Test debut planned for Kirk McKenzie.
The second Test will run from July 20 to 24 in Port of Spain, and will mark the 100th Test between West Indies and India. The two teams first met in a Test match in 1948 in Delhi.
West Indies squad for the second Test: Kraigg Brathwaite (capt), Jermaine Blackwood (vice-capt), Alick Athanaze, Tagenarine Chanderpaul, Rahkeem Cornwall, Joshua Da Silva (wk), Shannon Gabriel, Jason Holder, Alzarri Joseph, Kirk McKenzie, Kevin Sinclair, Kemar Roach, Jomel Warrican
Travelling reserves: Tevin Imlach, Akeem Jordan