Sokolovic graduated in 2011 from the Yale School of Drama.
Sokolovic started her career in theatre, she performed the role Betty in the musical The Shaggs: Philosophy of the World at Playwrights Horizons in New York City, for which she was nominated for the Drama Desk Award for Outstanding Featured Actress in a Musical. Later she performed in the play Detroit at Playwrights Horizons along with Amy Ryan, David Schwimmer, John Cullum, and Darren Pettie. In 2013, she performed in the A Streetcar Named Desire at the Yale Repertory Theatre along with Adam O'Byrne.
In 2013, Sokolovic played Gwen, a prostitute in the crime thriller Cold Comes the Night, directed by Tze Chun and starring Alice Eve and Bryan Cranston. It was released domestically on January 10, 2014.
In June 2015, Sokolovic was cast in Homeland's season 5 as Laura Sutton, an American Journalist in Berlin who works for the Düring Foundation.
