The Russian, who started the season outside the top 20, went on to finish with a single-digit ranking.
Coco Gauff and Daria Kasatkina will face each other on Friday, November 4 in the group stage of the 2022 WTA Finals.
The Pole won the French Open and the US Open as well as four WTA 1000 tournaments this season.
Kasatkina returned six out of 11 break points in the match to seal what was a rather comfortable victory over Zhu Lin in the previous round.
Daria Kasatkina and Lin Zhu are scheduled to face each other in the second round of the 2022 WTA Guadalajara Open on Tuesday, October 18.
Kasatkina and Keys have faced each other a total of eight times in the past with the American coming out on top in seven matches.
Daria Kasatkina was eliminated in the very first round of the US Open earlier this year by an unseeded Harriet Dart.
Daria Kasatkina and Harriet Dart are scheduled to face one another in the first round match of the US Open 2022 on Tuesday, August 30.
On Sunday in the final round of the 2022 Granby open Daria Kasatkina of Russia will face Daria Saville of Australia.
Daria Kasatkina and Diane Parry are scheduled to face one another in the semifinal round of the 2022 Granby Open on Friday, August 26.