In her first French Open main draw, Tomljanovic was making her Grand Slam fourth round debut. Her dream fortnight has included a triumph over former Roland Garros champ Francesca Schiavone in the first round and a career-best win over World No.3 Agnieszka Radwanska in the third round.
Suárez Navarro was coming off a defeat of another rising star, Taylor Townsend, in the third round.
Carla Suárez Navarro got up an early break in the first set and never relinquished it, but just when Tomljanovic got some momentum by breaking the Spaniard to go up 1-0 in the second set, Suárez Navarro broke right back and broke again in Tomljanovic's next service game. She would not surrender her break advantage and went on to a 6-3, 6-3 victory, earning a place in the quarterfinals here for the first time since she did so as a qualifier in 2008.
By The Numbers
Suárez Navarro committed 16 unforced errors, nine less than Tomljanovic's 25, in improving to 17-3 on clay in 2014 and recording her WTA-leading 34th match win of the season. In the process, she reached her fourth Grand Slam quarterfinal, having also gotten that far at the 2008 French Open, 2009 Australian Open and 2013 US Open.
"It was difficult to return her serve," Suárez Navarro said. "Although I was able to break her, I wasn't feeling comfortable. The beginning of the second set is always a very important time. I made too many mistakes in that first game, but what matters is that I was able to get my act together and make the necessary changes."
"I am disappointed that I lost today," Tomljanovic said. "I wish I could have played better. But aside from today, there have obviously been a lot more positives than negatives this tournament. I showed that I can play well and compete against the best girls."
Suárez Navarro takes on World No.16 Eugenie Bouchard, whose win over Angelique Kerber on Sunday was her ninth straight. Suárez Navarro won her one previous encounter with Bouchard in straight sets at Wimbledon last year.
"She really has played well," Suárez Navarro said of Bouchard. "She's a dangerous player and has already reached a Grand Slam semifinal, which I have never done. This is going to be a difficult match. I'm going to have to play really well."