Bridgetown: West Indies captain Darren Sammy won the toss and elected to field first.
Both sides have made one change to their line-ups: for the West Indies, Marlon Samuels replaces Brendan Nash, and for the Indians, medium-fast bowler Munaf Patel comes in for leg-spinner Amit Mishra.
The visitors hold a 1-0 lead in the three-Test series, following a 63-run victory inside four days in the first Test, which ended last Thursday at Sabina Park in Jamaica.
The third Test will be played from July 6 at Windsor Park in Dominica.
India will be looking to wrap up their second straight Test series victory over the West Indies in the Caribbean.
They are also bidding to create a piece of history by becoming the first Indian side to win a Test and one-day international series in the Caribbean -- but they will also have to rail against their history at the ground to accomplish that feat here.
The world's number one-ranked team have an unflattering record at Kensington Oval, locally referred to as 'the Mecca' of Caribbean cricket.
India have never won a Test at the ground, and have lost their last five Tests to the hosts here.
Mahendra Singh Dhoni's team still have cause for optimism though -- following a 10-wicket defeat for Sourav Ganguly's side nine years ago, West Indies have lost six of the last eight Tests they have played at this venue.