Later before Aleksandar was born, they emigrated to the United States in 1998, where Milan studied computer science at UCLA and then worked at Columbia University in New York.

[4] He cites the 2005 US Open match between Novak Djokovic and Gaël Monfils, which he watched on TV when he was age 6, as the reason why he began playing tennis.

[5] Kovacevic made his Grand Slam qualifying debut at the US Open, where he advanced to the final round before falling to Argentine Marco Trungelliti.

At the 2023 Delray Beach Open, he received a wildcard for his second ATP tour event, losing in the first round to Michael Mmoh.

He was accepted as a direct entry at the 2023 French Open, making his Grand Slam debut where he played Novak Djokovic.

13 Cameron Norrie in the second round of the 2023 Los Cabos Open for the biggest win of his career,[15] to reach the quarterfinals, where he lost to Dominik Koepfer.

[19][20] He also qualified for his first ATP 500 tournament, the 2024 Abierto Mexicano Telcel and defeated Los Cabos champion, Australian Jordan Thompson.

10 Andrey Rublev in the last four to reach his first ATP Tour final,[31][32] where he lost to second seed Félix Auger-Aliassime in a deciding set tiebreak.