Shvedova started her clay-court season by playing qualifying at the Family Circle Cup. Seeded 20th for qualifying, she qualified for the main draw defeating Jessica Pegula and tenth seed Andrea Hlaváčková. In the main draw, she reached the third round after defeating Alexandra Panova and 12th seed Yanina Wickmayer. In the third round, she lost to sixth seed Sabine Lisicki. Seeded seventh for qualifying at the Grand Prix SAR La Princesse Lalla Meryem, Shvedova lost in the second round of qualifying to Bianca Botto. At the Estoril Open, Shvedova was defeated in the first round of qualifying by Bianca Botto. Due to having a low ranking, Shvedova played qualifying at the French Open. She qualified into the main draw beating Ajla Tomljanović, CoCo Vandeweghe, and Elena Bogdan. In the main draw, she defeated Mandy Minella, Sofia Arvidsson, and Carla Suárez Navarro in the first three rounds. In the fourth round, she upset seventh seed and defending champion Li Na 3–6, 6–2, 6–0 to advance to her second French Open quarterfinal. This was Shvedova's biggest win of her career in singles. She lost to fourth seed and reigning Wimbledon champion, Petra Kvitová, in the quarterfinals only in three sets. Due to making the quarterfinals at the French Open, Shvedova's ranking went from 142 to 62. In doubles, she and Vania King reached the quarterfinals where they lost to seventh seeds and eventual finalists Maria Kirilenko/Nadia Petrova.