It is likely Fabinho will deputize in the position a lot this season, given the season ending injury suffered by Virgil Van Dijk.
The Brazilian was faultless against Ajax in the Champions League, as the Reds secured a 1-0 away win in their first group stage game.
Klopp told his post-match press conference: "Fabinho can play in the position, he likes playing it actually. If I'd have asked him to play right-back, I don't think he would have enjoyed it so much, but in our situation at the moment we have to keep these boys fit and they can help us a lot.
"Fabinho, I'm not surprised that he played well there or we would have thought about a different solution, even though that would have been very tricky. I'm really pleased tonight, pleased for him, it gave him confidence and helped us.
"He was good, but even he can play better! This combination with Joe and Fabinho, I don't think they've played together before, maybe once.
"They need to get used to each other, to the verbal demands in that position, what you have to say to help the midfielders, so it was a good performance, but there's a lot to improve which is good. How high or low is the last line in each moment? Counter-pressing, how do we react there, and it was absolutely good for tonight."