MS Dhoni was left out of the T20I team against the Windies and also the one travelling to Australia.
Manish Pandey and Dinesh Karthik ran the single after Allen misfielded the former's shot to pick up the winning run.
Highlights, India vs West Indies 3rd T20: India completed a 3-0 whitewash against the Windies.
The third and final T20I between India vs West Indies will be held at the MA Chidambaram Stadium in Chennai on Sunday.
Barring two One-Day Internationals, the Caribbean side was easily crushed by the hosts, who won the Test, the ODI and the Twenty20 series with ease.
India opener Rohit Sharma recently became the only batsman to score four Twenty20 International (T20I) centuries.
Having sealed the series, India would now look to give their bench strength an opportunity before the tour of Australia.
Siddarth Kaul who has been included in the squad for the final match has so far played two T20I matches.
Krunal Pandya bowled the bouncer in the 13th over of the West Indies innings.
The Windies lost the three-match Twenty20 International (T20I) series 0-2 against India.
Khaleel Ahmed pegged the Windies back with two early wickets.
Bumrah got the fourth ball of his over to skid off the deck and climb onto the batsman.
The Windies suffered yet another embarrassing loss to India, losing the second T20I in Lucknow by a 71-run margin.
Rohit Sharma, adjudged man of the match, is now second among the highest run-scorers in T20Is.
Rohit Sharma surpassed Virat Kohli to become the highest run-scorer for India in T20Is on Tuesday in Lucknow.
Rohit Sharma reached the milestone in his 86th T20I match in Lucknow.
Highlights, India vs West Indies 2nd T20I: India beat the Windies by 71 runs to win the series 2-0.
Virat Kohli recently lost one of his T20I records to Pakistan star Babar Azam and by the end of Tuesday could lose another one to Rohit Sharma.