So far he has celebrated two single and 16 double victories on the ITF Future Tour . On the ATP Challenger Tour he won the single tournament in León and the doubles tournament in Timișoara alongside Goran Tošić in 2012 . On September 10, 2012, he broke through the top 200 in the world rankings in doubles for the first time and his highest ranking was 161st place in August 2013.
Zivkovic has not played a tournament since 2014 and is no longer in the world rankings.