He made his debut for the club on 26 January 2013, coming on as a substitute in a 0–3 home league loss to Mainz 05.

On 2 February 2013, in his second Bundesliga game, Đurđić provided an assist to Felix Klaus and also scored an injury time winner away at Schalke 04.

[6] He netted a total of five league goals until the end of the 2012–13 season, as the club finished bottom of the table and suffered relegation to the 2.

After scoring a goal in the team's opener of the 2013–14 campaign, Đurđić torn his ACL in the league's third round, causing him to miss the majority of the season.

[7] He made his return on 2 March 2014, coming on as a substitute in a 3–2 home league win over FSV Frankfurt.

He then scored the opening goal of a 3–0 victory over Red Bull Salzburg in the second leg of the 2015–16 UEFA Champions League third qualifying round.

On 15 September 2015, Đurđić made his UEFA Champions League debut, playing the full 90 minutes in a 2-0 away loss to Paris Saint-Germain at Parc des Princes.

[19] Đurđić had a flying start to his stint at the club, scoring 6 goals in 10 games as Hammarby was placed first in the league mid-season.

Hammarby finished 3rd in the table, as Đurđić scored 13 goals in 27 games and got voted as Allsvenskan forward of the year.

[23] On 19 August 2021, Đurđić joined newly promoted Allsvenskan club Degerfors IF on a free transfer, signing a two-and-a-half-year contract.

[24] On 15 May 2007, Đurđić made his debut for Serbia at under-21 level, coming on as a substitute in a 6–2 home friendly win over the Cyprus U21s.

[25] On 6 February 2013, Đurđić made his senior debut for Serbia under Siniša Mihajlović, playing the first half in a 3–1 away friendly win against Cyprus.