The Reds equalled the record on Monday night when they claimed a 3-2 win over West Ham United at Anfield.
"I never thought it would be broken or equalled," said Klopp.
"We did it and I cannot believe it happened to be honest. I like a lot tonight that everything positive helps.
"When we equalised the stadium was rocking and that helps us. Whatever will happen this season is an effort of all of us. I could not be more thankful or appreciate the support we get. So far so good."