Can was forced to withdraw from Germany duty earlier this week after struggling with the back injury he sustained in the 5-0 win over Watford that preceded the international break.
Speaking to Liverpoolfc.com, Klopp explained that the midfielder won't be ready to feature for the Reds against Roy Hodgson's side on Saturday, though he does not expect a lengthy absence.
He said: "Emre is out for the weekend.
"[He is] getting better and better and better, much better. Hopefully he can have a normal session with us on Sunday morning and then should be fine again."
Klopp will also be without the services of Joe Gomez this weekend after the defender picked up an ankle problem during England's friendly win over the Netherlands.
However, the Reds manager still faces a selection headache at right-back, with Trent Alexander-Arnold 'fine' after missing England U21s' win over Ukraine and Clyne ready for his first appearance in the squad since pre-season having overcome the back issue that has ruined his campaign thus far.
On the latter, Klopp added: "Clyney is back. He played last week for the U23s. One or two games more would be nice but the situation is like it is. We have Clyney.
"I said yesterday to the boys that we lost Joe but finally we got Clyney back. He has been back for a few weeks already but he has come closer and closer. He is a very good option."
Dominic Solanke and Andy Robertson should also be available for the game at Selhurst Park despite facing minor fitness issues while representing their countries.
On Solanke's toe injury, Klopp said: "He is fine and will be fine today, I hope. After training I'll know more about that."
And of Robertson, he added: "It was a dead leg, no problem."