Djokovic stays top of ATP rankings with Medvedev lurking
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But the Russian could end the Serb's record-breaking two-year domination of the rankings from February 28 next, with Djokovic set to compete in Dubai and Medvedev in Acapulco the same week.
There were no changes in the top 10 this week, with Canadian Felix Auger-Aliassime edging closer to eighth place after capturing his first ATP title in Rotterdam on Sunday with victory over world number four and top seed Stefanos Tsitsipas.
The 21-year-old triumphed 6-4, 6-2 in 78 minutes, backing up his semi-final win over second seed and defending champion Andrey Rublev.
American Taylor Fritz moves up two places to 17th after his quarter-final run in the Dallas Open, with tournament winner Reilly Opelka jumping three spots to enter the top 20.
1. Novak Djokovic (SRB) 10875 pts
2. Daniil Medvedev (RUS) 9635
3. Alexander Zverev (GER) 7865
4. Stefanos Tsitsipas (GRE) 7355
5. Rafael Nadal (ESP) 6875
6. Matteo Berrettini (ITA) 5018