Liverpool humiliated Porto 5-1 at the Estadio do Dragao on Tuesday night with goals from Sadio Mane and braces from Roberto Firmino and Mohamed Salah.
With Jones assisting two goals of the game, Klopp was elated with the England international's impressive output.
“Curtis played a good game. He had some problems a little bit with the stomach before the game,” said Klopp.
“They (medical staff) told me I need to keep an eye on him but I told him after the game ‘Whatever it is, keep it’ because it was really a good game.
“He was everywhere, he was involved in everything. Set up the first goal with a surprising finish, goalie cannot save it.
“In a lot of other situations he was really there – maybe not as spectacular as the offensive stuff, but defensively he played a top-class game.
“A lot of things I liked a lot about his performance tonight. So, let’s keep going, Curtis, it was not bad tonight."
Klopp also disclosed an update on Trent Alexander-Arnold who was left at home due to a groin injury after playing in the 3-3 draw against Brentford.
“So the situation when you play Saturday and Tuesday, the players who start the game – which Trent obviously did – have on Sunday no training, they have recovery,” said Klopp.
“On Monday, the only session we have together, we pretty much walk through the things.“We have meetings and on the pitch we just show the difference between the opponents, so there was no intensity really in the session.
“But Trent in the middle of the session felt his adductor and in that area he has now a little injury.“Obviously when you have something with your muscle, it’s not likely for Sunday – no muscle injury heals that quick.
“After that, it’s internationals. I don’t want to make the decision for him but what I heard, I don’t think it will be possible for him to be with the national team.
“But the other people (England’s medical staff) have to decide that in the end but hopefully after that he will be ready again, but we don’t know exactly.”
