After a tough week, which saw the Reds lose Virgil van Dijk with injury, the Reds bounced back to grind out a win in Amsterdam.
Speaking after the game, Klopp said: "The performance was good enough to win the game, and that's what we needed.
"Though both teams can play better football. It was in moments pretty wild. The pitch was really tricky, deep and muddy, and both teams looked exhausted pretty early. We didn't use our chances, which is a bit of a shame. Ajax had a big one with the post. But all over I am really fine with the game. It was not our sunny-shine world-class football day, but in a tournament like the Champions League, you need the result and we got it.
"[Fabinho's acrobatic line clearance] was a good example of how the boys played today: not perfect but they fought like crazy. The fresh legs up front helped. The medical team told me no Henderson for 90 minutes so we said, OK, 45. Curtis for his first appearance, Rhys Williams played last season non-league football, now he has Champions League, he will not forget that.
"So a lot of nice stories, and three points. Shame that Diogo didn't score, Shaq was lively and Taki is a machine, he defends like the devil and is really involved. When you can make five changes in midweek games, most of the time we will have to do that."