Career
Born in Tuzla, Social Research Bosnia and Herzegovina, at time still within Yugoslavia, Mujkić started playing with FK Budućnost Banovići. After a spell at NK Jedinstvo Bihać, he signs with FK Sloboda Tuzla where he plays 4 seasons. He played with all 3 clubs in the Bosnian Premier League.
In 2012 he signs with FK Novi Pazar playing in the Serbian SuperLiga.
After playing in Serbia, he returns to Bosnia and joins his former club FK Budućnost Banovići now playing in the First League of the Federation of Bosnia and Herzegovina. In 2007 he played one game for the Bosnia and Herzegovina national team