Liverpool and Villarreal will go head-to-head in the Champions League semi-final first leg at Anfield with a place in the final at stake.
Villarreal have upset the odds to make it this far, knocking out favourites Juventus and German champions Bayern Munich in the round of 16 and quarterfinals respectively.
Klopp's side saw off challenges from Inter Milan and Benfica to reach the last four.
Klopp recognises the quality of the Villarreal team although their previous opponents might have underestimated them; a mistake Liverpool will not repeat.
"We are here because we got the results we needed," Klopp said at Tuesday's pre-match news conference.
"It's special to be part of the semi-final. It's a massive game. So many coaches and players work their socks off to be close to a semi-final, so we have to cherish it but enjoy it.
"We face a difficult opponent. They are made for this competition. The way they set up is really good.
"They may have had a little advantage where Juve and Bayern maybe underestimated them. That never happens with us, no chance of that. That advantage may have gone.
"They are a good football team that wants to make history. It would be the first time they would make the final, which is massive for them. But for us, it's the same importance."
Klopp also reserved special praise for Villarreal boss Unai Emery, who guided Sevilla to a 3-1 win over Liverpool in the 2016 Europa League final.
"I have a lot of respect for Unai and Villarreal," Klopp added. "I've analysed them properly, and wow. Impressive.
"Unai is a detailed-obsessed manager who prepared for all different situations in a game. That's what his team executes. Different ways to press and react on different results.
"It's really, really impressive. Unai is a world-class coach and doing an incredible job there. The good thing about the analysis is we're not involved in those games.
"We must make life as difficult for them as possible. That's what we try to do over these two legs."