After the Australian Open, Urszula competed at the Open GDF Suez. She lost in the first round to eventual champion Mona Barthel. Urszula won her first tour match of 2013 at the Qatar Open defeating Nadiia Kichenok in the first round. She then upset 15th seed Roberta Vinci in the second round. Her run ended as she lost in the third round to second seed, Serena Williams. Urszula qualified for the Dubai Championships beating Yuliya Beygelzimer, Akgul Amanmuradova, and Kurumi Nara. She lost in the first round of the main draw to Jie Zheng. In March, Urszula played at the BNP Paribas Open. She beat Arantxa Rus in her first-round match. In the second round, she upset 15th seed Sloane Stephens. In the third round, she got the victory over Jamie Hampton. In the fourth round, she lost to top seed and defending champion Victoria Azarenka. After Indian Wells, Urszula played at the Sony Open. She won her first-round match over Annika Beck. She then lost to 12th seed Ana Ivanovic in the second round. Seeded seventh at the Monterrey Open, Urszula lost in the quarterfinals to third seed Maria Kirilenko.