Liverpool's 1-1 draw at the Stade de Gerland last night means they require Lyon to win in Florence in three weeks.
Many believe it is a hopeless task but having masterminded escapes from improbable positions before, Benitez is not giving up the fight.
'It is difficult but not impossible. We have to win our next game and then see what happens.
'It depends on the result between Lyon and Fiorentina but we cannot talk about them if we do not do our own job.
'We have to keep going. We have produced miracles before and maybe we can do it again. We are really disappointed as this was a great opportunity and we had some chances. We were almost there and then we conceded another late goal against Lyon.
'It makes a massive difference.'
There was a suggestion that there was an offside in the build up to Lyon's equaliser but Benitez refused to condemn the match officials
'We have to improve how we control games when we are winning,' he said. 'We have to keep the ball better and maybe we have to be stronger in the challenge.'