Klopp then added: "The season so far point-wise is really successful but it doesn't feel like that - comparison with free-flowing football last season in a few games, and City and Chelsea playing a good season".
"In the end you have to score goals in a game and if you think about how often we were in the box and around, that's what you have to do in a game but you have to make the last decision in the right way and we didn't".
Liverpool were not at the races in Serbia and they were punished for it. It is not what we wanted and we will go for the other two games 100 per cent.
"We gave them too many set pieces before they scored, so they could kind of train it". In a year our competitors are the champions of last year, the champions of two years ago, a more refreshed Arsenal and a more experienced Tottenham and Manchester United.
"We played well and managed to shut them out", said the Australian defender.
"As I said, they deserved it with the passion they fought [with]".
That, though, will be much easier said than done - despite the fact they outclassed the Parisians at Anfield in September. In Liverpool we controlled the game, tonight we didn't.
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The Reds' first shot on target came only as late as the 71st minute.
A 2-0 defeat to Red Star Belgrade leaves Liverpool needing a victory against either Paris St Germain in the French capital in three weeks or Napoli at home in their final group game.
"It's all good. We can do better - that's always the case".
It was also the Merseyside club's third consecutive away defeat in the Champions League - the club's worst run at the highest level of European competition since 1979.
Firmino has scored just once in his last 11 games for club and country, but even on a night when Klopp tried to give the Brazilian a rare rest, he was thrown on at half-time in Belgrade after his backup Daniel Sturridge missed a glorious chance to put Liverpool ahead.
NAPLES, ITALY - OCTOBER 03: Alisson of Liverpool reaches for the ball during the Group C match of the UEFA Champions League between SSC Napoli and Liverpool at Stadio San Paolo on October 3, 2018 in Naples, Italy.
Jokanovic dismissed "speculation" about his future but he recognises his team need to vastly improve if they are to survive, unexpectedly criticising them and demanding they do not throw away in a matter of months the Premier League status that took years to secure.