Omić started playing professional basketball for Zlatorog Laško. In 2009, he signed with Zlatorog and stayed with the club for three seasons until 2012.
On 30 August 2012, Omić signed a four-year deal with Union Olimpija.[1]
On 1 August 2015, Omić signed a two-year deal with Gran Canaria.[3] He made a good impression with Gran Canaria right from the start, and was named to the season's All-EuroCup First Team.
On 28 June 2016, Omić signed a two-year deal with Turkish club Anadolu Efes.[4] On 16 January 2017, he left Efes, and signed with Spanish club Unicaja, for the rest of the season.[5] In April 2017, he won the EuroCup with Unicaja after beating Valencia Basket in the Finals.[6]