Jullien made more than more than 45 appearances for the Hoops in the 2019/20 season, his first at the club, but injury reduced him to taking the field just nine times in the league last season.
Things have got even worse for him this season as his injury problems continued, but even after recovering from them he has made just one appearance this term, a 16 minute-cameo in a Scottish Cup game in February.
Jullien revealed that he has asked manager Ange Postecoglou to afford him playing-time against Motherwell this weekend as the match does not determine the standings, with Celtic being confirmed as title-winners.
The centre-back insisted it would be the wish of the fans as well, who might be under the impression he is still injured, and he is hoping to play the whole match.
Speaking to GOAL France, Jullien said: “We talked about it with the coach and I told him that I hoped to have playing time since the match no longer matters as we are champions.
“That would be the best, I would love to be able to play.
“I also hope and know that the fans would like this because a lot of people are asking me questions to find out what’s going on.
“They’re so much in doubt, they think I’m hurt.
“Some even send me messages to ask me if I can play, if I am still injured.
“If the coach could give me 90 minutes that would be great.”
Jullien’s contract with the Hoops runs out next summer, but it is claimed he is not in the club’s plans for next season and they are ready to sell him.
If that is the case, the match against Motherwell could end up being the centre-back’s last for the club, provided he is picked.