A dramatic second half comeback enabled Liverpool to turn a 2-1 deficit against West Ham into a 3-2 victory.
They now need 12 points from 11 games to become champions, having won 26 of their 27 Premier League fixtures.
The triumph ensured they equalled Manchester City’s all-time record of 18 consecutive top flight wins (from 2017-18) and it also meant Liverpool matched their own all-time record of 21 straight victories at home, set between January and December 1972.
If Liverpool continue at this pace, they will win the title against Crystal Palace on March 20 but Klopp believes his players will have to raise their levels even further as the season has reached its defining moment.
‘I never thought it would be broken or equalled,’ said Klopp, who saw Mohamed Salah and Sadio Mane save the day.
‘We did it and I cannot believe it happened to be honest. Whatever will happen this season is an effort of all of us.
‘But you are right it is very special. We all know that these numbers are very special. but we are in the situation, and we want to react. We said at the start of our time here that we wanted to create history and write our own stories and the players have clearly taken that seriously.
‘The numbers, of course, are unbelievable, we know that it is special. But we have to be ready to fight to the end as everybody is fighting for everything right now. Now we prepare for the next one at Watford on Saturday and we have to be 100 per cent for the next one.’