Liverpool head to Old Trafford with a five-point lead over Manchester City after a perfect start of eight wins from eight.
It has earned Klopp back-to-back Barclays Manager of the Month awards, but the German insists it is just the beginning as Liverpool look to keep their foot on the gas in the hope of claiming a first Premier League title.
"It feels good but it's in the past," Klopp said after being presented with his September award from Barclays.
"We wanted to have a good start to the season but now we have to carry on.
"We go for the highest stakes [so] we have to win pretty much all the games.
"After winning the Champions League people thought, 'Now they've won something, they're in a relaxed mood.'
But we're not. We're desperate to do something special.
"The next game is a big one. Then we play Champions League, then we play Tottenham... so it's coming thick and fast.
"We've got to be prepared but all we can do is be focused on the next game and that's Man Utd. It's a very big game for us."