The Belgian striker remains sidelined with an ankle injury.
The Argentine centre-back was given a straight red card in his side's 4-0 derby-day defeat at Anfield on Wednesday for a studs-up tackle which saw the in-form Belgian striker - who had opened the scoring - stretchered off after 50 minutes.
Afterwards, Klopp confirmed to Liverpool's official website that the 21-year-old was set for a spell on the sidelines for what was a "serious" injury - the latest in a series of Reds players to be struck down by injury.
Origi joins the likes of Jordan Henderson and Emre Can on the treatment table, but the German manager refutes suggestions that his walking wounded are suffering as a result of the club's intensive schedule.
"We cannot change it," he said to The Guardian, via ESPN. The whole season was very intensive, we never gave up, so it was not a case of being too intensive.
"The players are not injured because they are tired. In a moment, it happens. Hendo was different to Emre. Divock was a senseless challenge. He [Funes Mori] didn't need to make it, but it happened."
Origi is expected to miss around six weeks, according to The Guardian, and losing ex-Lille hitman is a crushing blow for Klopp, given his red-hot form preceding the injury.
Origi had found the net five times in as many matches for the Reds and, with a Europa League semi-final tie with Villarreal on the horizon, his absence could be key.