Currently on loan at St Mirren, the 28-year-old Cyprus international's contract at Hibernian runs out in the summer and he will be a free agent.
Gogic, who started his career in Scotland when he signed for Hamilton in 2017, has settled with his family in the country and would be more than happy to remain in Scottish football.
Ahead of the visit of bottom side Dundee in the cinch Premiership on Saturday, he revealed he will wait until the three remaining fixtures have concluded before thinking about his future.
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Gogic said: "I just want to finish these next three games and then sit with my family and agent and see what's next. I haven't really thought about it.
“I have stayed here a long time so I am definitely enjoying it. My two kids were born here in Scotland as well but regarding my football, it is where I started and I am really enjoying it, I have made a name for myself and I love the people and everything about it."
Stephen Robinson's side are on the brink of safety with 39 points, eight points ahead of second-bottom St Johnstone, whom they beat 1-0 in Perth last week, and 13 ahead of Dundee.
Gogic said: "We need one more point to make us safe but last week eased the pressure. We want to finish the best we can.”