The Catalan club have lost their opening two games in Group E, while Koeman has also failed to win on three occasions in La Liga so far this season, drawing against Athletic Bilbao, Granada and Cadiz.
It has been reported that the Koeman's tenure at Camp Nou is hanging by a thread, however the Dutchman believes the board must give himself and the team time to turn their fortunes around.
"I can't say anything about my future because I don't know how the club thinks in that sense. It's not in my hands and we will see," Koeman told AS.
"I think that, for any coach, it is always difficult if you lose two Champions League games. You have to be realistic and know that it is a delicate situation. I try perfectly. You have to try to give the team time and change things."
"I'm only going to give my opinion about the team, about my players. I feel supported by my players; by the rest, I don't know."