"I try not to think about that," Kerber said. "I want to focus on my next match and have fun on the court without added pressure."
In the second round, Kerber faces another player from Romania, Alexandra Cadantu, who beat Melanie Klaffner of Austria 7-6 (4), 6-2.
Two-time former champion Ana Ivanovic reached her fourth quarterfinal of the season by defeating Francesca Schiavone of Italy 6-3, 7-5.
In a match between two former French Open champions, the third-seeded Ivanovic was more consistent in her ground strokes, while Schiavone double-faulted nine times.
"Francesca is a great player and it was a tough match," Ivanovic said. The 2008 and '10 champion next plays seventh-seeded Dominika Cibulkova or Katarzyna Piter of Poland.
Earlier, seeded players Carla Suarez Navarro of Spain and Kirsten Flipkens of Belgium also advanced to the quarterfinals.
No. 4 Suarez Navarro defeated Elina Svitolina of Ukraine 6-1, 6-4 to reach the last eight for the first time since her 6-0, 6-0 defeat by Serena Williams at the U.S. Open five weeks ago.
In her seventh quarterfinal of the season, Suarez Navarro will play No. 5 Flipkens, who routed Camila Giorgi of Italy 6-2, 6-1.
In first-round play, Karin Knapp of Italy overcame six double faults to defeat 2007 champion Daniela Hantuchova of Slovakia 6-2, 7-6 (6).