Luiz Diaz equalized for the Reds 15 minutes from time after Heung-min Son put Spurs ahead, but Liverpool couldn’t find a late winner as they suffered a rare error.
That leaves them level on points with Manchester City having played one game more, with Pep Guardiola’s side lucky enough to move three points clear at the top of the Premier League against Newcastle on Sunday.
Klopp does not expect to curry favor with City in the final games of the season, believing the number of games Liverpool have had to play is a significant reason why their four-fold ambitions could falter.
“I’m not happy, but not as sad as the players at the moment and it’s my job to explain why something is happening like this,” Klopp told BBC Sport.
“Harry Kane and Heung-min Son were completely rested, that’s why it’s so hard. That’s why the quadruple is so unlikely, there’s a reason no one has done it in this country. We we will continue.
He added: “I would love to sit here and say City are going to drop points, but I don’t see it. I would love to think differently but I don’t see it. But we’ll see what happens.
Tottenham sat at Anfield as expected but offered a real threat on the break through their front three, and might well have won it late when Pierre-Emile Hojbjerg made a complete mess of a free header at six meters.
There were plenty of performances from Liverpool that impressed their manager, although the outcome was ultimately frustrating.
“A tough game, but I’m really happy with my boys’ performance against a top team that could play in the Champions League next season,” Klopp said.
“They have world-class forwards on the pitch to counter-attack. It doesn’t make life easy, 1-0 is tough and we stayed calm and forced the equaliser.
“Our mentality was amazing and the counter-pressing was on a different level. But we faced a counter-pressing opponent with a whole week to prepare, we accept that and it sucks.”