While the Sweden international was disappointed by the result at Easter Road he believes the team have nothing to prove.
And Lustig is confident Celtic will bounce back when they play Motherwell on Wednesday.
Lustig said: "We are a big team in Scotland and of course we want to win every game but if we lose a game, we are still the same players who have done very well this season so far.
"So hopefully we can play a good game against Motherwell, score some goals and get back on track.
"I think we were the better team against Hibs but that's football and if you don't score it is hard to win. The attitude and character we showed was brilliant at times.
"But we are Celtic players and we don't like to lose, we always want to win. We always think we should score goals.
"I think we created some big chances and had some good crosses and as I said before, goals are really important."