Veteran off-spinner Ravichandran Ashwin, who entered the elite 500 Test wicket club at Rajkot, climbed a rung to the second position behind pace spearhead Jasprit Bumrah.
Jadeja and Ashwin continued to hold on to the first two spots in the Test all-rounders rankings.
Jadeja consolidated his position among the all-rounders, going from 416 to a career-best 469 rating points.
India captain Rohit Sharma moved up one spot to 12th in the batting list after scoring 131 in the first innings at Rajkot, while Shubman Gill (91) progressed three places to 35th after coming close to a century in the second innings.
Debutants Sarfaraz Khan and Dhruv Jurel also entered the rankings in 75th and 100th positions, respectively.
Star batter Virat Kohli, who is not playing in the series due to personal reasons, remains the only Indian in top-10 batters’ chart at the seventh spot.
For England, opener Ben Duckett’s quickfire 153 in the first innings lifted him 12 places to 13th.
New Zealand’s Kane Wiliamson strengthened his position at the top of the batting rankings after notching a century against South Africa, his seventh in seven Tests, joining Aravinda de Silva, Mohammad Yousuf and Clyde Walcott as the only players to have achieved the unique feat.
He is followed by Steve Smith and Daryl Mitchell.
