Miloš Ostojić

Teleoptik

Like many other promising youngsters at the club, Ostojić spent time at FK Teleoptik, making his debut in Serbia's second-tier league on 22 August 2009 against FK Novi Pazar. He went on to play 38 games for the club, scoring 4 goals in the process.

Partizan

On 24 January 2012, along with Miloš Jojić, Ostojić signed his first professional contract with Partizan, on a four-year deal. He made his debut for Partizan against FK Javor Ivanjica on 14 April 2012. He suffered from a tumour in 2015 and underwent injury in December that year, amongst other injuries. He was released from Partizan at the end of the 2015–16 season due to persistent injuries.

BATE Borisov

On 28 February 2017, Ostojić signed a contract with Belarusian Premier League club FC BATE Borisov. After only 1 played game and five months spent at the club, he decided to leave BATE in July 2017.

Napredak Kruševac

In January 2018, six months after leaving BATE Borisov, Ostojić signed a contract with FK Napredak Kruševac. He made his debut for Napredak on 23 February 2018, in a 3–2 away league loss against FK Voždovac. Ostojić scored his first and only goal for Napredak on 1 May 2019, in a 5–2 away league loss against FK Čukarički. He left Napredak on 1 July 2019, after his contract with the club expired.

Čukarički

On 6 August 2019, Ostojić signed a one-year contract with Čukarički.

Ostojić represented the Serbia U19 national team in 2009. He made his debut and played his only game for the Serbia U19 team on 26 August 2009, in a 2–0 home friendly match win against Bosnia and Herzegovina.

As of 19 May 2019

Partizan

Serbian SuperLiga: 2011–12, 2012–13, 2014–15 Serbian Cup: 2015–16 BATE Borisov

Belarusian Super Cup: 2017