The meeting lasted 1 hour 19 minutes and ended with a score of 6: 3, 7: 5 in favor of the Kazakh tennis player.
The 13-time Grand Slam winner scored two aces, converted two break points out of five and committed one double fault.
In the quarterfinals of the tournament, Rybakina's rival will be Russian Anastasia Pavlyuchenkova.
Earlier it was reported that Pavlyuchenkova beat Azarenka and reached the quarterfinals of Roland Garros.