The France international defender clutched his knee in agony after landing awkwardly following an aerial battle with Palace winger Yannick Bolasie.
Sakho was immediately replaced, leaving the Reds’ squad looking increasingly thin with fellow stars Joe Gomez, Jordan Henderson, Daniel Sturridge and Danny Ings currently nursing injuries.
Speaking after the game, Klopp said that he doesn’t know the extent of Sakho’s injury, but he admitted that he would prefer to have taken a heavy defeat to the loss of another key player.
“I don't know how bad it is. We have to wait for a scan. We hope that it is not too serious. I would have preferred to lose 4-1 than lose an important member of my team. It was not good,” Klopp told ,the Daily Mail.
It comes as a blow to Sakho as the former Paris Saint-Germain defender was really starting to make progress under his new manager on Merseyside.
The Reds’ injury list is now up to as many as nine players, the joint-most in the Premier League alongside Newcastle United. Chelsea and West Bromwich Albion, in contrast, have just two each.
It doesn’t make Klopp’s task of climbing Premier League the table any easier, with expectations around the club rising the moment the former Borussia Dortmund manager walked through the Anfield door.