On 9 January 2013, it was reported that Rogic had joined Scottish Premier League champions Celtic at their training camp in Spain. On 16 January 2013, it was reported that terms had been agreed for the transfer of Rogic from Central Coast Mariners to Celtic, subject to personal terms. The deal was completed the next day. Rogic made his Celtic debut on 9 February 2013 in a Scottish Premier League match against Inverness Caledonian Thistle; setting up Kris Commons with a cross to score the equaliser, bringing the score to 1–1. Celtic went on to win 3–1 and Rogic won the Man of the Match award. He made a further seven appearances for Celtic that season.
The following season saw Rogic make only a handful of appearances for Celtic, and he was sent out on loan to Melbourne Victory in January 2014. His spell back in Australia was marred by ankle and groin injuries, and these continued to trouble him on his return to Celtic in the summer of 2014. He required to have two operations on his groin, and didn’t play again until March 2015 when he made his comeback in Celtic’s Development Side match against Motherwell.
