India (110 points) presently trail New Zealand (113 points) by three points but will need to win the series by 4-1 or better to claim the third position.
New Zealand pacer Trent Boult will start the five-match series as the number-one ranked bowler while India's highest ranked bowler is R Ashwin, who has been rested for the series.
In the batsmen rankings, Virat Kohli remains in number two spot behind A B de Villiers.
Warner has gained nine positions and moved into the top 10 for the first time after accumulating 386 runs during the series in South Africa, including a fighting 173 in the final match in Cape Town which Australia lost by 31 runs.
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Some fine performances by the South Africa players have helped their team leapfrog New Zealand and India to within two points of world champion Australia's tally of 118 points. South Africa had started the series tied at 110 points and gained six points, while Australia plunged from 124 to 118 points.
De Kock, who scored 300 runs in the series including an innings of 178 off 113 balls in the opening ODI in Centurion for what was the second-highest individual score for South Africa, has moved up five places to fourth rank. Rossouw's 311 runs in the series saw him move up 30 slots to a career-best 32nd rank.