The Anfield club has not won the title since 1990 but went back to the top with a 2-0 win in Cardiff, BBC Sport reported.
Liverpool is two points clear of Manchester City.
"If you are only motivated to win the Holy Grail, then something is wrong with you," said Klopp.
"We want to win football games because we enjoy the ride with the fans."
Second-half goals from Georginio Wijnaldum and James Milner gave Klopp's side a deserved win in south Wales that took it to its highest Premier League points total of 88.
City can go back top if it beats rival Manchester United at Old Trafford in its game in hand on Wednesday.
Klopp said, "In the end, we will see how many points we have and then we get what we get.
"We are motivated to play for this club. We have no influence on the other games, it is how it is. Our next game is against Huddersfield, which will be difficult again for different reasons.
"Some people up in Liverpool might ask us if we are thinking about Barcelona in the Champions League semifinals. We will be completely focused on Huddersfield.
"On Wednesday, there is a game as well [between Manchester United and Manchester City]. When we played Manchester United, they were in a much better moment than they are now and that was 0-0."
Klopp was unhappy – as was counterpart Neil Warnock – that Cardiff had not watered the pitch during the game, but said his side had prepared for that.
"The ball didn't roll like normal. Everybody saw it," he said. "It doesn't make football easy when the pitch is dry.
"Dry pitches are dangerous for players injury wise. I don't know exactly why the pitch was dry – but we were prepared.
"We trained yesterday for one hour and 10 minutes on a bone-dry pitch just to get used to it."