after the season which they spent as a loaned players with the club in the serbian first league, srnić brothers signed with čukarički for an undisclosed fee in summer 2013. for the first two seasons as a regular club member, dragoljub played 50 superliga matches and scored 1 goal. he also noted 8 cup appearances, winning the competition for the 2014–15 season, and 4 caps in the 2014–15 uefa europa league qualifications. after his brother, slavoljub, returned to red star belgrade, srnić scored both goals in 2–0 win over radnik surdulica in 9 fixture of the 2015–16 serbian superliga season, played on 11 september 2015. playing with čukarički, srnić made 169 appearances with 6 goals in all competitions for five seasons with the club. he played mostly matches as a defensive midfielder, being elected for vice-captain behind the most experienced player in the team, and the club captain igor matić. after the contract expired, he left the club in summer 2017.