Klopp is taking nothing for granted in his side's bid to reach the quarter-finals.
And he insists it cannot enter his thinking to sacrifice Premier League games to give his team a better chance of winning the European crown to once again qualify for the money-spinning tournament.
Klopp said: “We are playing Fulham on Sunday and three days later we play Leipzig – and we are not yet in the next round.
“I cannot think about winning the Champions League because we have to go through difficult rounds – including this one.
“We are not giving up on the Premier League – and that will never happen.
“There is no game we can play and lose and people say 'look at that line-up, Liverpool are not interested' because we are not really playing any game behind closed doors because there are always cameras.
“We feel the responsibility that in every game we have to give absolutely everything to win it.
“When it doesn't happen, it is not enough. But that doesn't change our attitude."