Leroy Sane broke the stalemate at the MetLife Stadium in New Jersey on 57 minutes, but Mohamed Salah buried a header less than a minute after coming on to draw things level.
Neither Salah nor match-winner Mane were expected to feature in the clash, but the latter showed his worth by rolling a spot-kick past Joe Hart.
Klopp was quoted on the Liverpoolfc.com site as saying: “The game for us was very important, but it is not a sign in the direction or whatever.
“It’s only a game we played and a lot of good moments which we can use and a lot of bad moments we can work on. That’s all.”
Jurgen Klopp upstages Pep Guardiola at his own press conference 😂 pic.twitter.com/RcpOXXZrEs— Liverpool FC News (@LivEchoLFC) July 26, 2018
The German added that he had no concerns over Salah’s shoulder injury.
He said: “I was not concerned about it otherwise he wouldn’t have played.
“He came in and scored after pretty much 35 seconds. He had a big impact together with Sadio and Dom (Solanke), and the midfield with Marko (Grujic), Pedro (Chirivella) and Ben (Woodburn) played fantastic.”
Manchester City manager Pep Guardiola was upbeat about the display despite the end result.
He was quoted on the Manchester City official website as saying: “It was incredible, what we did.
“For 75 minutes, it was incredible with the players we have what we did against that team – the finalists of the Champions League, who have amazing players.
'We must now demand they win': Jose Mourinho cranks up pressure on Jurgen Klopp after Liverpool's summer spend https://t.co/86uBRhlRkB— Telegraph Football (@TeleFootball) July 26, 2018
“I’m so proud and happy to be manager of these guys for that reason. Our personality was incredible. In the first half, we had a very young average age.
“For the last 15 minutes, we were so tired. We made some changes and in the last few minutes, Liverpool deserved to score goals.”
After a goalless first half to the match in New York, the game came to life in the second with Leroy Sane breaking the deadlock to put City ahead after 57 minutes.
Their lead did not last long, however, as Mohamed Salah buried a header six minutes later – with his second touch of the game and just 52 seconds after coming off the bench.
The Egyptian came close to scoring another two in the closing minutes – a header was blocked on the line and his second effort struck the crossbar.
But the period of concerted pressure from the Reds finally paid off in injury time.
World class vision and world class header from Mohamed Salah. Made an impact within less than a minute coming on. pic.twitter.com/vQpH1JswsI— Sam (@VintageSalah) July 26, 2018
Awarded a penalty when Dominic Solanke was fouled in the back by Tosin Adarabioyo, Liverpool forward Mane rolled his spot-kick to the left as Joe Hart dived in the opposite direction, providing a dramatic close to the match between the Premier League rivals.
The Reds’ recruitment over the summer has had everyone talking with £174million spent on midfielders Naby Keita and Fabinho, winger Xherdan Shaqiri and perhaps most crucially Brazil goalkeeper Alisson.
But while fans are relishing the prospect of a genuine title challenge, Klopp is focusing on laying down more of his game-plan to ensure there is no complacency.
“For me these last two weeks are the most important two weeks of the whole pre-season,” he told LFC TV.
“My job is not to be excited. I realise the mood is really positive we played a (Champions League) final – we did not win it but it was still positive.
“Then we made the signings so from a fan point of view it is ‘Business done. Now we have all of them how can it be worse?’.
“It is not allowed to think for one second it will be a little bit easier.
“We need to be ready for the big challenges, the big goals, we have to be this angry, aggressive, greedy team full of desire that wants to win each game.
“All the other teams have quality as well so we need to be ready for fights, not celebrating signings and stuff.
“I get it, it is only pre-season and people are happy – cool. To stay happy there is a lot of work ahead.
“We are in the middle of the process and they will not be finished for the first match day, of course not.”
Klopp has been impressed by Daniel Sturridge’s pre-season and is prepared to give the striker another chance.
Last summer the Reds were prepared to offload the 28-year-old for £20million as his poor injury record had made him unreliable and largely unusable.
Sturridge went to West Brom on loan in January but was injured early on and managed just six appearances.
With 12 months left on his contract it seemed Sturridge’s Anfield career was over but he has looked sharp in friendlies this month games and Klopp, who became frustrated by the player’s unavailability last season, is prepared to hand him a lifeline.
“We’re not in doubt – and nobody was ever in doubt – about his quality,” he added.
“In this moment he looks really good to be honest. That’s cool – really cool for him and cool for us.
“(It’s) a very important moment for him. I am in talks with him, what he feels.
The boss on Sturridge, transfers, Pepijn Lijnders and his aims for the upcoming season.
— Liverpool FC (@LFC) July 25, 2018
“I don’t want to make him the most physically strongest player in the squad or whatever.
“The most physically strong player in the squad cannot play football like Daniel Sturridge and he has no possibility to be that, to be the marathon man of the team, but he can be a very decisive player.
“It’s a good moment and hopefully it will stay like that.”
Sturridge could be in line to start the Premier League campaign at home to West Ham in just over a fortnight’s time with Roberto Firmino – along with fellow Brazil international Alisson – only rejoining the squad at next week’s training camp in France.
Another of the club’s Brazilians, Allan Rodrigues de Souza, has joined Eintract Frankfurt, subject to international clearance, after signing a contract extension with Liverpool.
The 21-year-old, who does not yet qualify for a UK work permit, has previously had loan spells with SJK, Sint-Truidense, Hertha Berlin and, most recently, Apollon Limassol.