Klopp believes Man United and Chelsea could challenge for the title this season.
Liverpool went to the top of the Premier League table with Spurs on level points after the Reds defeated Leicester City 3-0.
After knowing Pep Guardiola signed a new contract with Manchester City, Klopp insisted there would be many more challengers in the Premier League this term.
The likes of Chelsea, Manchester United and Tottenham are some among his list.
“I’m happy about Pep signing a new contract,” Klopp told reporters.
“But I’m a little bit afraid it won’t be Guardiola against Klopp over the next few years as it looks like Frank (Lampard) and Chelsea are building a proper team there.
“Man United will not stay without trying and Arsenal will do the same and are in a good way as well.
“Tottenham look really dangerous this year. Leicester are obviously and 100% Wolves will not sleep.
“I’ll have forgotten somebody, not because I’m being disrespectful but because I’ve seen the development of a lot of other teams and see the steps they make.
“I’m happy Pep is staying with me for longer!”