Klopp's Reds were humbled 4-1 at Anfield by Pep Guardiola's side to leave them 10 points behind league leaders City - who also have a game in hand.
When questioned about the margin between Liverpool and City by reporter Niv Dovrat of Israeli TV station Sport 1, Klopp angrily claimed the journalist wasted a question by asking about Liverpool's title chances this season.
Klopp told Dovrat: "I really think you should prepare your job better to be honest. How can you ask that?
"They are 13 points away, in my understanding, and these questions about becoming champions - do you really think that's appropriate at the moment.
"We have only two questions and you waste one for that. Your fault, you had only two questions."
Klopp then insisted that Dovrat was not allowed to ask anything else as his two allocated questions were used up, before eventually giving in to claim the Reds were thinking about a top-four finish.