Jones replaced Andy Robertson with 14 minutes remaining of Saturday's 3-0 victory at Bournemouth to make his top-flight bow.
It was a dream come true for the 18-year-old, although Klopp was quick to point out many more challenges lie ahead for the No.48.
Speaking to Liverpoolfc.com, the boss said: "It was his third time in the squad, so then I thought it makes sense to bring him on.
"But it was not a present, I have to say. It's his development. We want to show respect for that and we appreciate that.
"Then you need a player and today we were without Adam and Gini here. We thought we need a midfielder because we want to rest Robbo a little bit, so move Millie there. That's then a good choice.
"He did really well, he did really well. It was nice to watch and he enjoyed the game. Obviously it was not the most difficult game and it will not be the most difficult game in his career, but it was really nice seeing him.
"There are two or three more in the moment which we still have in the backhand. If we have to use them then we will then use them early. If not, then we give them a bit more time to develop and use them later."