The Icelandic international has struggled with injuries on loan at Brondby in Denmark.
Celtic forward Holmberg Fridjonsson is currently out on loan at Brondby along with Finnish striker Teemu Pukki, himself also a Celtic owned attacker.
The Icelandic striker arrived from Fram in 2013 but is yet to feature for the Celtic first-team since his move to the club from his Icelandic homeland.
He is now coming to the end of his campaign in Danish football and is beginning to think about the future. But he admitted to Ekstra Bladet this week that he does not know exactly where that will be.
"It's a bit difficult, because I do not know my future, and I wish that I didn't know whether I will be here, in Celtic or elsewhere next season. It would be easier. Sometimes it can be difficult to train and play without thinking about the future. It's certainly something I think about, but it can hopefully be solved quickly.
"I might return to Celtic, but I do not know for sure. I need to talk to the manager about it.
"It was Neil Lennon, who picked me up, and now there is a new manager who I have not spoken much with. He has his own system and its own players and I need to find out whether I fit into, or if I should find a new club.
"Celtic have four or five good attackers and generally a strong team. It's hard to make the team, and I may also have to compete with Teemu. There is much competition, so a move is certainly a possibility."
Fridjonsson, who is nicknamed 'Bertie', has had a bad season through injury and has scored just once in 13 appearances for the Danish giants.
Fridjonsson has recently recovered from his latest injury trouble and will hope to play some part in the remaining six games of the Danish Superliga season. But he has competition for his places, with the likes of Pukki, Johan Elmander and Ariel Nunez for the striker role at Brondby.
Celtic have the likes of John Guidetti, Anthony Stokes, Stefan Scepovic and Leigh Griffiths currently at the club - with plenty of attacking midfielders also providing attacking intent.
Bertie has a real task on his hands getting back in the Celtic team.