With the Rad under-19 team, Lutovac won the national championship in the 2014–15 season, earning them a spot in the 2015–16 UEFA Youth League.

In late June 2019, Lutovac officially joined Partizan on a free transfer and was given the number 97 shirt.

[4] He made his competitive debut for the club in a 4–0 home league win over Mačva Šabac, playing the full 90 minutes.

Lutovac scored his first goal for Partizan on 9 October 2019, in a 0-6 win against Vodojaža in the Serbian Cup round of 32.

[6] After representing Serbia at under-19 level, Lutovac became the under-21 team's second-highest scorer in their successful 2019 UEFA European Under-21 Championship qualifiers with four goals in five games.