Mowbray's side have had a poor home record in Europe this term
Celtic manager Tony Mowbray gave his players two months to show they are good enough to remain in his team after the Europa League defeat by Hamburg.
"It is up to the players to prove they are worthy of staying at this club and playing in front of those fans," he said after the 1-0 Group C loss.
"I think the Celtic fans will be happy with the endeavour, the effort, the commitment and the desire.
"We probably need to win our last three games, so let's give it a go."
Celtic remain bottom of Group C, five points behind Hamburg and Hapoel Tel-Aviv, who hammered third-placed Rapid Vienna 5-1.
Players will get opportunities to remain at the club, but the quality needs to improve and I have to work hard to do that
Celtic manager Tony Mowbray
Mowbray's side have lost three and drawn one of their home European games this season and also slipped off the top of the Scottish Premier League last weekend.
"We give them 10 out of 10 for effort but I have never questioned their effort," he said of his players.
"I can question their quality, as I did last Saturday against Motherwell, and as I do again. I saw our quality and I saw their quality.
"Manchester United wins games because Rooney smashes it in and Berbatov creates space, Liverpool are finding it hard without Torres and Gerrard.
"The best players win you football matches, quality is what counts."
Celtic not out of Europe - Mowbray
Mowbray's side were booed off the park after recording no wins in his last four games and only two wins in eight home games since taking over from Gordon Strachan in the summer.
However, he said of the fans: "They will see the miss-controlled passes, as I see them. We will try and put it together bit by bit.
"We will try to find the right players of the right quality to lift the team and we are working hard behind the scenes to find those players.
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