The Belgium international was handed a rare start in the Premier League in place of Roberto Firmino, who was named on the bench following his exploits with Brazil during the international break.
However, Origi was forced off in the first half with an injury, with Klopp opting to bring on Firmino to replace the Champions League final hero.
Liverpool FC eased to a commanding 3-1 win thanks to goals from Sadio Mane and Mohamed Salah, but Firmino was named man of the match for his display.
The Reds will make the tough trip to Serie A side Napoli in the Champions League on Tuesday night.
Speaking at his post-match media conference after Liverpool FC’s 3-1 win against Newcastle, Klopp provided an injury update on Origi.
“Unfortunately, Div twisted his ankle early in the game and had to then come off,” Klopp said.
“We all hope it is not that serious. That he could play on could be a sign it is not that serious, hopefully it is like this.”
Klopp added: “I think he will have a scan today or whatever and then we will know more.
“Of course, that’s not cool, he is in really good shape, so hopefully they will not find a lot in the scan.”
Origi scored twice in Liverpool FC’s 4-0 victory over La Liga giants FC Barcelona in the Champions League semi-final last term.
The Belgian forward netted in the final minutes of Liverpool FC’s 2-0 win against Tottenham Hotspur in the Champions League final in Madrid back in June.
Liverpool FC have won the European Cup on six occasions.
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