The Everton manager still thinks it is "too early" to say who will win the Premier League, but is "impressed" with Klopp's side.
"It's still too early to say who will be the favourites, but I have been impressed by Liverpool so far," Koeman told 'ESPN FC'.
"Maybe that is not what you might expect the Everton manager to say, but they have been playing some very good football and deserve to be at the top.
"They have goals in their team and this is what all successful sides need.
"Of course they can be champions this season, they have a good chance, but they are not the only contenders".
The Dutchman also hailed Chelsea after their 5-0 demolition of Koeman's side in their last Premier League game.
Koeman added: "My Everton team has played Manchester City and Chelsea in the last few weeks and both were very impressive. We managed to draw at City, but you could see the quality of these teams.
"Then we all know what happened at Chelsea, as we lost 5-0 and they put in a very good performance. It was difficult for us, but you have to be impressed from their side, so maybe they can also have a chance".