The Reds currently have a four-point advantage at the top, following Manchester City’s surprise home defeat by Crystal Palace.
Klopp’s team has also delivered the club’s best start to a season, with 48 points from 18 unbeaten games.
In a press conference on Tuesday, the German said:
“We don’t want to make ourselves smaller than we are but I can feel it.
“Nobody here is used to dealing with the success of Liverpool but a lot of people feel for this club. Somebody already asked me after the Wolves game: ‘Is it your’s to lose?’ He asked me that! Wow! That is really crazy.
“If you want to have guarantees, go for another sport. If you want to be sure that in May it will be something really special but you don’t want to see the way to that day, then take a holiday. I don’t know where the Premier League is not broadcast but find a little country where it is not and go there.
“If you want to enjoy the ride, and want to try everything you can to be as successful as possible, then welcome, let’s go for it. That is all we can do. Nothing else, and not because our grandfathers did or didn’t do it. That has no influence,”.
Klopp also maintained he does not feel any added pressure given Liverpool’s commanding start and slender advantage over City, whom they play January 3.
“There is no pressure, I don’t see the pressure,” he said.
“There is pressure because we want to win against Newcastle and that is difficult enough. If I saw someone in a pre-match interview asking a player about May and stuff like that, I would take the mic and throw it somewhere. Only because that is not fair. We have to play football, not think about what we can do in the summer.
“If we are not first in the table on 3 January for example then we would probably have lost a game. Does that mean that everything we have done so far is shit? If we lose a game one day and everybody immediately starts saying we showed we cannot deal with the pressure, there are still 17 games to go or whatever. There is no extra pressure on us because of a four-point gap.”