[3] Her father Vladimir is a former tennis player who was a member of the Ukraine Davis Cup team,[4] and currently is a coach in Hamburg.

[citation needed] Lys made her WTA Tour main-draw debut at the Hamburg European Open when she received a wild card into the doubles draw, partnering Noma Noha Akugue.

[8] Lys made her WTA Tour singles debut at the Porsche Tennis Grand Prix in Stuttgart, coming through the qualifying.

[15] Lys reached her first WTA Tour semifinal at the 2023 Transylvania Open in Cluj-Napoca, Romania,[16] but lost to eventual champion, fellow German Tamara Korpatsch.

113, she also qualified for the main draw of the US Open for a second consecutive year, and lost in the first round in a close three-setter to Marie Bouzková.

[26][27] Next she defeated Zeynep Sönmez to reach her third WTA Tour semifinal,[28][29] which she lost to Sonay Kartal when she retired due to illness, while trailing in the first set.

[36][37] Next, Lys defeated Jaqueline Cristian in three sets to make a major fourth round and reach the top 100 in the WTA rankings for the first time in her career.

She became the first lucky loser to reach the women's singles fourth round and only the sixth to make the last 16 of any major in the Open Era.