[4] In 2013, Tsurenko reached the semifinals of the WTA Premier Brisbane International tournament, after entering the draw as a lucky loser replacing Maria Sharapova; she defeated Jarmila Gajdošová and Daniela Hantuchová before losing in three sets to Anastasia Pavlyuchenkova.

She continued her good run of form on the North American hardcourts, as she reached the third round at the Indian Wells Open as a qualifier; she defeated Ayumi Morita and Yaroslava Shvedova before falling to Petra Kvitová.

After qualifying for Wimbledon, she defeated Dinah Pfizenmaier to set up a second-round meeting with Simona Halep; Tsurenko pushed the No.

[6][note 1] After again reaching the second round of Wimbledon and losing to Irina-Camelia Begu, Tsurenko won her first career singles title in Istanbul, defeating Urszula Radwańska in the final.

[7] She qualified for the Canadian Open in Toronto by beating Nicole Gibbs and Lara Arruabarrena, and then defeated Yanina Wickmayer, Wimbledon finalist Garbiñe Muguruza and Carina Witthöft, before succumbing to Sara Errani in the quarterfinals.

As a lucky loser, replacing Simona Halep, she defeated fifth seed Karolína Plíšková in the quarterfinals, in straight sets.

[7] After a struggle in the first half of the year, Tsurenko made her first major fourth round at the US Open, after beating Irina-Camelia Begu and Dominika Cibulková, before losing to defending finalist, Roberta Vinci.

In Cincinnati, she made her first Premier Mandatory quarterfinal appearance in three years, after beating Danielle Collins, Garbiñe Muguruza, and Ekaterina Makarova en route, before losing to Simona Halep.

[6][note 1] At the US Open, she entered her first Grand Slam quarterfinal, after beating Alison Van Uytvanck, Caroline Wozniacki, Kateřina Siniaková, and Markéta Vondroušová, before she lost to eventual champion Naomi Osaka.

[7] Beginning her 2019 year at the Brisbane International, she reached the final with wins over Mihaela Buzărnescu, Australian wildcard player Kimberly Birrell, Anett Kontaveit, and second seed Naomi Osaka.

[10] In February at the Qatar Ladies Open, she lost in the second round to top seed and eventual finalist Simona Halep.

[13] Tsurenko started her clay-court season in Germany, at the Porsche Tennis Grand Prix where she was defeated in the first round by German wildcard player Laura Siegemund.

Playing at the Indian Wells Challenger, Tsurenko made it to the semifinals but lost to Begu who would end up winning the title.

Playing at the first edition of the Phillip Island Trophy, Tsurenko was defeated in the qualifying round by Mona Barthel.

[31] She reached her first final since 2019 and sixth overall in Hua Hin, Thailand after the retirement of top seed Bianca Andreescu.

At the Indian Wells Open, she qualified for the main draw and reached the third round, defeating Zhu Lin and 29th seed Donna Vekić, but withdrew from her match against Aryna Sabalenka citing personal reasons.

She prevailed over Ana Bogdan in a 3-hour 40 minutes match with a 38 points tiebreak in the third, the longest in women's singles Grand Slam history.

[37][38] Tsurenko started the season at the Auckland Classic where she beat Sachia Vickery in the first round in straight sets and lost in the second to Diane Parry in a three-setter.