"We still believe we will get through," said the veteran defender, who was forced to play at right-back in France after injuries ravaged the Premier League outfit's back-line.
Related ArticlesLyon 1 Liverpool 1Rafael Benítez: we need a miracle to qualify nowFernando Torres's loyalty provides shining lightChampions League actionChampions League tablesChampions League fixtures"We know it's going to be difficult but we're not out of it yet. All we can do is win our next two games and see what happens.
"We have been in difficult positions before and we've come through like in 2005 and when we had to win in Marseille in the group stages and we came through. It's disappointing but a draw doesn't mean we're totally out of it."
Carragher added: "If you look at the manager's record in Europe we've won it and been to the final and semi-final and quarter-finals. So our Champions League record under the manager has been superb."
Benitez added: "We have to keep going, and try to win," Benitez said. "We have achieved miracles before and we can do it again."