Coverage begins on Tuesday on ESPN+ and ESPNEWS.
The Croatian jumps 123 spots after his rousing title run at Cincinnati.
World No. 28 Reilly Opelka has played two matches since Wimbledon.
Olympic gold-medal champion targets Davis Cup return next month.
Borna Coric toppled Rafa Nadal and Stefanos Tsitsipas en route to the Cincinnati title—earning high praise in the process.
"She is kind of the player who can beat everybody," Petra Kvitova said of Cincinnati champion Caroline Garcia.
The Croatian is the lowest-ranked Masters 1000 semifinalist since 2003.
