The Liverpool manager says the striker looks to have just twisted his ankle and is walking around on crutches.
Origi had opened the scoring for the home side against Everton at Anfield in the closing minutes of the first half before he was taken from the field on a stretcher after finding himself on the receiving end of a nasty tackle from Toffees defender Ramiro Funes Mori.
The wince-inducing replays of the challenge had many Liverpool fans fearing that the young striker's season was over, after speculating that the Belgian would have either suffered a broken ankle or ligament damage.
However, although Klopp admitted he could not enjoy the second half after the blow, he assured Reds supporters that Origi looks to have just twisted his ankle in the challenge rather than sustaining any serious lasting damage.
The German boss said, as quoted by BBC Sport: "I would like to say yes, I am delighted, but the injury to Divock Origi has cost me some joy. It's really great I would like to say but I cannot ignore this situation.
"I can't say too much about Origi but they say it is disgusting, awful pictures. But it's not broken, it is a twisted ankle, he is on crutches walking around so we will have to see. The situation is not good.
"The first reaction was maybe it's broken but it's not broken. The ankle is twisted so we have to see. The season is only four weeks. I am happy that it is not broken. When you want to have success you need luck with injuries. Seeing him on the floor is not too nice so I couldn't enjoy the second half too much."
Origi's opener at Anfield was his fifth goal in the last five games, and he has moved from a rotation option to seemingly the club's first-choice striker in recent weeks thanks to his good form.
With a Europa League semi-final against Villarreal on the horizon, as well a push to qualify for Europe next season via the league, a serious injury to the Belgian would have been a serious blow to Liverpool, and Reds fans will be praying that Klopp is right in his early assessment.