The Reds ran out 2-1 winners at Molineux but were given a big run for their money by Nuno Espirito Santo's side.
And Klopp had plenty of kind words for them after the final whistle.
"We knew it would be a really tough game. Wolves are doing so unbelievably well and are so different from everything else you face during a year," he said.
"How Nuno sets them up is really good. They now have (Romain) Saiss and (Leander) Dendoncker in there, where (Ryan) Bennett and (Willy) Boly played.
"And Traore is pretty much unplayable. I've said it a couple of times and it's still true.
"He keeps the ball, holds the ball, and sets up goals obviously."
Liverpool had Jordan Henderson and Roberto Firmino score either side of Raul Jimenez's header for Wolves
"It makes it so difficult, the way they defend. And each ball you lose is a counter-attack," added Klopp.
"They scored a goal, a super goal, and then had a big one which Alisson saved.
"They scored and it was another five or 10 minutes of Wolves time.
"Then, we had a worldie from Bobby (Firmino). A super, super goal. I'm really, really pleased."