Earlier on Thursday, Liverpool faced a defeat by 2-1 at Manchester City's home ground, Etihad Stadium.
At the other end Virgil van Dijk was again justifying his tag as the world's most expensive defender to keep City's array of attacking talent quiet with he Dutchman standing tall to block David Silva's effort.
If you had said to Klopp in August that Liverpool would have clear daylight at the top at the start of January, having just lost their first game of the season, he would have snapped your hand off.
"Everyone has this responsibility in mind, to play good football, to try to win every game".
Former Manchester United manager Louis van Gaal says the only team he would back to win the Premier League title this season is Liverpool. "It was not flawless because we lost but you can't always expect perfection and we lost by the smallest difference you can get, so there's no need to make a big fuss of it".
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"We gave City a good game and it was a very tight game".
"A few games this season we were lucky we have scored goals, and tonight we were quite unlucky with the chances that we had".
Liverpool take a break from their title challenge as they return to FA Cup action with a trip to face Wolves at Molineux on Monday.
The Dutchman believes City possess better players - but insists Klopp is giving Guardiola a masterclass in coaching. It was a final for us because lose and it was nearly over.
Guardiola said: "I don't know how far we are going to be because maybe (players) not playing the Carabao Cup will be easier for our recovery. It becomes a habit".
'So, if I was to put my money on one club for the league, it would be Liverpool, ' said Van Gaal, according to The Mirror.
"Liverpool is a great club with a massive history, and the players who are here now must carry that responsibility", the 20-year-old added. "We knew that if we won we would be in contention to fight for the Premier league, if we lose it is over".