Rogic has had a breakthrough season with the Scottish giants after injuries kept him sidelined since he joined from Central Coast Mariners in 2013.
His dynamic attacking football has won him legions of fans among the Celtic faithful this year, and is regularly picked as man of the match for the Bhoys.
After failing to make any impact for the previous two years, the turnaround has been amazing - and Rogic is now at full fitness and finally able to last 90 minutes.
Now Celtic want to tie him down on a new long-term deal. His current contract finished at the end of next season and Celtic have moved early to keep him on board.
Ahead of Celtic Europa League clash with Molde, Rogic revealed talks were already underway.
"The club have made it known to my representatives they would like to extend it and hopefully we can do that," he told the Scottish Daily Mail.
"Of course I'd be keen. I am happy here and enjoying my football. I certainly hope it can happen. It was just last week that they spoke so it is still very early. We'll wait and see what happens."
Rogic has been inspired to stay by team-mate Nir Bitton also signing a new deal as the club keeps a firm grip on their key stars.
The 22 year Canberran added: "Nir has been a great player for Celtic over the past year and shown his quality. When someone of that level of quality commits his future it can rub off on the rest of the team and set a good example."
Rogic said he was grateful for Celtic boss Ronnie Deila giving him a chance at the number 10 role despite his awful injury history, which included battling back from a reported long-term osteo pubitis condition.
"He would ask how I was getting on with my rehab and recovery. He reassured me if I got myself fit and back to a level I would be given the chance to prove myself," said Rogic.
"The focus was to come into pre-season for a fresh start, improve myself in training and games and push on from there.
"There were no guarantees. I would have to earn everything and work hard for it. But he wanted to let me know I still had a future at the club and by no means would I be leaving without having given it a good shot.
"I've been fortunate to have the support of the club and coaching staff. Also, the dressing room has been fantastic over the last year through my injuries.
"Their support network has made a difficult period in my life and career easier. I'm happy now things are going well and I'm looking to build on the start to the season."
Rogic will join the Socceroos in his Canberra hometown for their World Cup qualifier against Kyrgyzstan next week and he can't wait to play in front of his friends and family.
He added: 'It's massive. That is where I was born and raised.
"There hasn't been a national team game played there for some time – and I've never had an opportunity to play a professional match there.
"It will be pretty special and it's something I'm really looking forward to because I'm not sure how many opportunities like it there will be. All my family and friends are in Canberra so it will be pretty cool."