The Reds failed to turn their rough form around upon their return to Premier League action this weekend when they were held to a 3-3 draw by Brighton and Hove Albion.
With just one win in its last four games across all competitions, Klopp's side - FA Cup and EFL Cup winner last season as well as Champions League finalist - risks falling short on multiple fronts.
But the German feels his side will be able to work out its problems, stating it must "go back to the basics" and that it cannot expect an immediate revival of fortunes.
"We realised after Napoli it was a real low point, and we had to change things quickly," Klopp said. "We didn't play Wolves, played Ajax, then didn't play Chelsea and couldn't keep up any momentum from the Ajax win."
"When you spot a problem and think you have the solution, you expect the solution to be instant and influential, that's never the case in football.
"When it doesn't work out, you realise step by step that you have to go back to the basics. We have to be patient again to do the right thing, and then we will be fine again."
Liverpool's mixed form has made it hard for new signing Darwin Nunez to have the desired impact after an early season red card, but Klopp is unconcerned over the forward's personal attributes.
"He is still adapting," he said. "New players come in and everybody talks about them and wants them to shine immediately and that happens from time to time.
"We had a long talk yesterday and we told him we are completely calm. It's really important in our situation that he isn't worrying. The three-game suspension didn't help him to settle, that's clear.
"The team isn't flying and that doesn't make it easier for a striker, especially a finisher. It's not that everything is clicking, that is not our situation at the moment."