The Brazilian goalkeeper kept on Dominic Calvert-Lewin's flick in the best chance of the match, which finished goalless, and Klopp believe it demonstrates his quality.
The Reds boss said: "We should not take him for granted.
"Absolutely outstanding. That's what a world-class goalkeeper is - nothing to do for pretty much 90 minutes then he's there."
The draw leaves Liverpool five points from their first league title in 30 years and Klopp believes that the result was merited. He also turned his attention to the upcoming home match against Crystal Palace.
The 53-year-old coach said: "The point is one we deserve.
"Everton were well organised so we had to run a lot but we looked fit and ready.
"Now we've got three days. Crystal Palace looked good on Saturday and we have to make sure we are ready for Wednesday."
Everton boss Carlo Ancelotti was also pleased with his team's performance, despite their winless run against their local rivals extending to 22 matches.
The Italian manager said: "Honestly we were really close to winning but it was a tough game, difficult game.
"We performed really well. We were focused, we sacrificed. We had opportunities to score at the end.
"Liverpool played a good game, they had more possession but defensively we were really good."