Filip Đukić was born in Hvidovre, Capital Region of Denmark, and started playing football as a four-year-old for local club Rosenhøj Boldklub.[3] In 2012, he joined FC Copenhagen's youth academy, a club he had supported as a youth.[3]
After progressing through Copenhagen's academy, Đukić joined hometown club Hvidovre IF on a senior contract in 2018.[4][5] On 15 August 2018, he made his senior debut in a first-round Danish Cup loss to Fremad Amager.[6] Đukić made his league debut two months later, on 7 October 2018, replacing Alexander Horsebøg as the team performed poorly. After a shaky start Hvidovre decided to keep him as first choice. His first starter for a Danish 1st Division match against Fremad Amager, which ended in a 2–2 draw.[7]
In October 2020, Đukić joined league rivals Fremad Amager,[8] before returning to Hvidovre on a short-term contract just months later, in January 2021.[9] He signed a contract extension with the club in June 2021.[10] He reached promotion to the Danish Superliga with Hvidovre in the 2022–23 season, and extended his contract with the club until 2024 shortly after.[11] On 21 July 2023, he made his Superliga debut in a 1–0 loss to Midtjylland, where he saved Gustav Isaksen's penalty.[12]
International career
On 5 June 2019, Đukić gained his first cap for the Montenegro national under-21 team, coming on as a substitute during the second half of a 0–0 friendly draw against Georgia.[13]
^Holmstav, Martin Timm (31 October 2020). "Ny målmand til Fremad A."Fremad Amager Statistik (in Danish). Archived from the original on 24 March 2023. Retrieved 31 July 2023.