The 27-year-old has started four of Liverpool's 12 Premier League games this season - and he is still waiting to net his first top-flight goal of the 2016-17 campaign.
While Liverpool - who were in top spot before Chelsea capitalised on their 0-0 draw at Southampton at the weekend - have been talked up as title challengers, Klopp is determined to keep his players' feet on the ground.
"The fans always get behind us and in games like that you probably need them to drive you on even more".
Asked if there was anything he learned at Dortmund which could help his current crop deal with being right in the mix, Klopp said: "Yes, not think too much about it".
But a daunting challenge faces in-form Sunderland against a title-chasing Liverpool side unbeaten at home in five Premier League outings.
"But these things usually don't happen". Both can play, neither are scared of a battle and at 25 and 26 respectively, they're about to enter their primes.
Klopp threatens to drop complacent Liverpool FC players
He's quoted in the Chronicle, saying: "We need to play like we played against Hull, because if we stay defensive they are very good at breaking you down and scoring".
"This is success but if you then celebrate this and don't be professional anymore than you have a problem". While Klopp doesn't suggest that he has seen certain individuals get complacent, he has set out his stall by insisting that it will not be accepted as he continues to also manage expectations this season.
"It is not too hard".
"All I can say is we won last week against Hull City, so we go into the game after a couple of good victories", Moyes told a news conference on Friday. "It is better to be one time in first place than never in your life but it is not really important in this moment".
"But that's part and parcel of football - teams might see that as the best way to get a point, or three, against us".