Playing as a senior, Šipčić appeared in the Drina Zone League as a bonus player until the end of 2013, when he left the club.
[3] At the beginning of 2014, Šipčić joined Serbian SuperLiga side OFK Beograd and passed the winter break off-season with the first team.
[8] During the 2017–18 Serbian SuperLiga campaign,[9] Šipčić was also a part of the first squad under coaches Gordan Petrić, Slađan Nikolić and Zoran Milinković, making 25 appearances in both domestic competitions.
[10] Šipčić noted his first goal for Rad in 3rd fixture match of the 2018–19 Serbian SuperLiga campaign, scoring in 2–1 away victory over Vojvodina on 5 August 2018.
[11] On 30 July 2019, Šipčić moved abroad and signed a three-year deal with Spanish Segunda División side CD Tenerife.