India notched up 321 for six, while the West Indies, needing 14 runs in the final over and five off the last ball, levelled the score with Hope (123 not out) cutting Umesh Yadav for a boundary.
Ambati Rayudu said the responsibility does not pressurise him at all, as he preferred to stay in the present.
Making mockery of what looked like a stiff 323-run target, the home team cantered to the win with 7.5 overs to spare, taking a 1-0 lead in the five-match series.
Rayudu amassed 175 runs, averaging 43.75 from six innings in the Asia Cup, virtually sealing his place for the experimental No. 4 slot.
Rohit made it clear that the likes of Manish Pandey, Kedar Jadhav, Ambati Rayudu are fighting for the key middle-order slots.
With India yet to settle their middle-order conundrum with less than a year left for the World Cup, there is a chance for players such as Rayudu to cement their places in the team.
In Kohli's absence, a lot of responsibility will be down to the other players and it will be a perfect time for them to shine and seal their spot for the ICC World Cup 2019 squad.
The skipper has had issues with his back and with another six Test matches lined in the next three months, the selectors will be cautious while monitoring Kohli's workload.
He is certainly disappointed at missing out on the limited overs leg of the England tour after failing Yo-Yo test but Ambati Rayudu has nothing against strict fitness benchmark laid out by the Indian team management.
The stylish Hyderabad batsman, who was initially picked to be part of the Indian ODI team for the series in England, was pulled out after he failed the Yo-Yo test.
Patil came in support of Rayudu, saying that it is not right to judge a player's career on the basis of a single fitness test.
Raina, who last played a One Day International match for India back in 2015 against South Africa, is set to don the blue colours once again.
It is learnt that Rayudu, who had a major role in Chennai Super Kings' victorious IPL campaign, performed well below-par in the range of 14 of the YoYo Test.
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Opener Rayudu smashed his maiden IPL century, a 100 not out which he made from 62 balls with the help of seven fours and seven sixes as CSK chased down the target of 180 with one over to spare.
Ambati Rayudu smashed his maiden Indian Premier League (IPL) century off 62 balls in a crucial match against table-toppers Sunrisers Hyderabad.
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CSK head coach Stephen Fleming said Rayudu has been instrumental in winning games for Chennai Super Kings with his ability to bat aggressively.
Captain MS Dhoni scored an unbeaten 70-run knock, while Ambati Rayudu contributed with 82 runs off 53 balls as Chennai Super Kings outclassed Royal Challengers Bangalore by five wickets.