The Reds now sit three points behind their rivals after only managing a 1-1 draw with Tottenham at the weekend and Klopp claims that plenty of people want to see them fail in the title chase.
Referring to local rivals Everton, the Liverpool boss said: "I live in Liverpool so, yes, here a lot of people want us to win the league, that's true, but even here it's probably only 50 per cent.
"I have no idea if the whole country is supporting us, it's not the feeling I get when we go to places, it's actually the opposite. Maybe he knows more about that than me."
Liverpool are now relying on City to drop points if they are to win the league but Klopp says his team will keep believing until it is impossible to do so.
The German coach said: "It's clear it is not over because we both have three games to play and my concern is how can we win our games.
"We have absolutely no hand in how City play their games but before they are played, we should not add on points. We don't do that and I'm pretty sure City is not doing that. [Until] it's not reachable anymore, why should we stop believing?
"Let's just assume we won the last game and they lost. It doesn't make the Aston Villa game easier; it just gives a nicer perspective which I think is important as well."