Dragičević has two siblings, a brother and a sister.[2] She is a graduate of the University of Dramatic Arts in Belgrade.[3] She is married to Serbian actor Petar Benčina. She gave birth to daughter Staša on 4 December 2016 and son Lazar on 14 August 2019.[4][5] They are a popular celebrity couple in Serbia. Her brother-in-law is actor Igor Benčina.
In 2011, Dragičević appeared in the music video for single "Slučajno" by Kiki Lesendrić, along with her Montevideo, God Bless You! fellow Miloš Biković.[12] She is currently starring several plays in the Vuk Karadžić and the Boško Buha Theatre.[13] Dragičević would go on to appear in the RTS television series Vojna akademija (English: Military Academy) and its spin-off film Vojna akademija 2, the Montevideo, God Bless You! sequel See You in Montevideo and Bićemo prvaci sveta (English: We Will Be the World Champions). In 2013, Dragičević was one of the contestants in the first season of Tvoje lice zvuči poznato, the Serbian version of Your Face Sounds Familiar.[14]