The Reds slipped to a 2-1 defeat against Paris Saint-Germain last night and now have it all to do if they are to pip Napoli to second spot in the group and make the last 16.
Liverpool started slowly and allowed their hosts to take a grip of the game with Juan Bernat giving them a 14th-minute lead which was doubled by Neymar starting and finishing a counter-attack.
James Milner scored a penalty on the stroke of half-time after Sadio Mane was brought down by Angel Di Maria but despite some second-half pressure the Reds could not force an equaliser.
It leaves Liverpool having to beat Napoli at Anfield either 1-0 or by two clear goals to progress to the knockout stage.
"We need Anfield again and we need to create an atmosphere which is pretty special. We know that," Klopp said. But Napoli is a really strong side.
"If we go through we deserve it, and if not then we don't. We are not afraid of that, and I believe you get what you deserve. That's it. We have to try everything."