The Reds, who last won the league in 1990, demolished Hull 5-1 on Saturday to move to fourth in the table - five points behind leaders Manchester City.
Liverpool have won at Arsenal and Chelsea, and thumped champions Leicester 4-1 earlier this month, with their only defeat coming against Burnley.
And Klopp, whose side face Swansea at the Liberty Stadium on Saturday, says there's still room for improvement in the title race.
"I don't like standing here and saying 'brilliant, brilliant'. It is as good as it should be," Klopp told Sky Sports.
"We are a good __football side, but we have to improve - not only in (defending) set pieces, but in a lot of things. We have done well, but Swansea is the next challenge and it's a big challenge.
"Everybody feels good and that's good, it's better that we are all optimistic, but nothing has happened really.
"Football is a nice and simple game on good days, but on other days you can't find a solution and that's what makes it interesting."
Related articles
- Jurgen Klopp: This disappointed me in Liverpool's win over Hull
- Mamadou Sakho: Jurgen Klopp responds to Liverpool star's Snapchat rant
- Liverpool's Karius: My thoughts on battling Mignolet for No 1 shirt