Peter Handscomb is at a career-best 26th position and would be looking to further advance in the rankings.
Australia also boast Josh Hazlewood and Nathan Lyon in sixth and seventh positions, respectively, among bowlers, while Mitchell Starc is in 13th position and would be looking to find his way into the top 10.
For England, former captain Alastair Cook will be hoping to repeat his 2010-11 Ashes form, when he scored 766 runs. He is presently ranked 10th while Jonny Bairstow is ranked 15th.
England’s bowling is led by top-ranked James Anderson, who enjoys a 20-point lead over South Africa pace bowler Kagiso Rabada. He is presently on 896 points and in with a chance to become only the seventh England bowler to touch the 900-point mark. Stuart Broad is ranked 10th.
Meanwhile, India captain Virat Kohli has edged Warner to take fifth position after completing his 50th international century in the first match of a three-Test series against Sri Lanka in Kolkata, which ended in a draw on Tuesday. Kohli, who is top-ranked in both ODIs and T20Is, knocked up a fine 104 not out on the last day of the match.
Opener Shikhar Dhawan has gained two places to reach 28th position while among India’s bowlers, pace bowler Bhuvneshwar Kumar has gained eight places to reach a career-best 29th position and Mohammad Shami has moved up one slot to 18th position.
All-rounder Ravindra Jadeja, who started the Sri Lanka series with the opportunity to reclaim the top bowling and all-rounder rankings, could not work towards the objective in Kolkata as all Sri Lanka batsmen fell to pace bowlers. Jadeja has slipped to third position among bowlers and also lost 20 points in the rankings for all-rounders, but still has a lot to look forward to in the remaining matches.
For Sri Lanka, Niroshan Dickwella has gained three slots to reach 37th position among batsmen while off-spinner Dilruwan Perera has moved up three places to reach 22nd position among bowlers.
ICC Test Team Rankings (as of November 21, 2017, before the Ashes): 1. India 125, 2. South Africa 111, 3. England 105, 4. New Zealand 97, 5. Australia 97, 6. Sri Lanka 94, 7. Pakistan 88, 8. Windies 75, 9. Bangladesh 72, 10. Zimbabwe 02.
Batsmen: 1. Steve Smith (Aus) 936, 2. Joe Root (Eng) 889, 3. K. Williamson (NZ) 880, 4. C. Pujara (Ind) 866, 5. Virat Kohli (Ind) 817, 6. David Warner (Aus) 807, 7. Hashim Amla (SA) 795, 8. Lokesh Rahul (Ind) 757, 9. Azhar Ali (Pak) 755, 10. Alastair Cook (Eng) 738.
Bowlers: 1. J. Anderson (Eng) 896, 2. Kagiso Rabada (SA) 876, 3. R. Jadeja (Ind) 868, 4. R. Ashwin (Ind) 840, 5. R. Herath (SL) 820, 6. J. Hazlewood (Aus) 794, 7. Nathan Lyon (Aus) 752, 8. Dale Steyn (SA) 748, 9. Neil Wagner (NZ) 745, 10. Stuart Broad (Eng) 737.
Others selected rankings: 15. Yasir Shah (Pak) 704.
All-rounders: 1. S. Al Hasan (Ban) 438, 2. R. Jadeja (Ind) 409, 3. Ben Stokes (Eng) 396, 4. R. Ashwin (Ind) 395, 5. Moeen Ali (Eng) 378.