The A-League club confirmed Rogic was flying out on Thursday to work out for the SPL champions, but they said no bid had yet been tabled for him.
Rogic, 20, is expected to return to Australia a few days later in time to feature for the Mariners in their 19 January clash with the Newcastle Jets when his three-game domestic ban comes to an end.
Central Coast manager Lawrie McKinna hopes the experience will be a rewarding one for the young Socceroo, who was previously linked with a move to English Premier League side Reading.
"This is a great opportunity for Tomas to train with Celtic's first-team squad," he said. "Celtic are in their mid-season break and are busy preparing for their Champions League matches against Juventus starting in February, so Tom will undoubtedly learn a lot from the experience."