Klopp watched his side lose 3-0 to Napoli at Murrayfield on Sunday and their latest disappointment follows shortly after defeats by Borussia Dortmund and Sevilla and a draw with Sporting Lisbon.
The German insists he is not concerned as the likes of Mohamed Salah, Sadio Mane and Naby Keita are all yet to return following their involvement in the Africa Cup of Nations.
Alisson and Roberto Firmino were also with Brazil for the Copa America, while Swiss international Xherdan Shaqiri has also been absent after the Uefa Nations League.
“I have never had to work a pre-season without six players,” he said. “It’s strange.
“The best news is that City have no clue who they’re facing as we don’t know our line-up ourselves!.
“Shaqiri and Keita have trained once with us today. They’ll join Salah, Alisson and Firmino tomorrow. That’s five of six back which is great.”
Harvey Elliot made his debut in the Napoli defeat after Liverpool beat off a host of clubs to sign the 16-year-old after he opted not to stay at Fulham.
The winger played the final 11 minutes and was greeted with a warm response by fans.
And Klopp says he is excited to see what the future holds for Elliot, who became the Premier League’s youngest-ever player last season.
“That’s why he is here,” Klopp said when asked about his potential.
“I could say so many positive things about the boy, we signed him, he came here, he decided on us and could have gone pretty much everywhere but he wanted to be part of Liverpool.
“The stories with the boy start early and already he is the youngest ever Premier League player and has broken quite a few records because of his talent.
“Now he is here so let’s work with him. He needs game time, we will see where he gets that but he is obviously a fine, fine footballer and that’s why we were really interested.”
He is unable to sign a professional contract until next April when he turns 17.