Not considered for the tour of Australia despite his consistent run in domestic cricket and IPL, Suryakumar led MI's chase of 165 and helped the defending champions reach the target with five balls to spare.
Table-toppers MI are on course to make it to the play-offs but the game is crucial for Rajasthan, who are languishing at seventh place and a loss would mean a step closer to elimination
With the embarrassing loss, CSK are all but out of reckoning for the playoffs with just six points from 11 games, while MI jumped to the top spot with 14 points from 10 matches
Though skipper M S Dhoni conceded after the loss against Rajasthan Royals that the season might be already over them, CSK can still get to 14 points if they win their remaining four games
The match on Sunday night ended in a tie in the regulation 20 overs and KXIP could only score five runs in the first Super Over but Shami bowled brilliantly to restrict MI to the same score.
Having lost two tight games they should have won at the start of the season, KXIP managed to get on the right side of the results in the last couple of games, although it was too close for comfort by their own admission.
Having lost half of the side for just 78 runs in 12 overs in chase of 164, Tewatia hit an unbeaten 45 from 28 deliveries to guide his side home in the company of Riyan Parag
