Salah and Van Dijk withdrew from their national teams over the global break amid fitness concerns, but trained at Melwood on Thursday afternoon.
The Guinea worldwide picked up a hamstring injury in midweek and is expected to miss at least the next two weeks.
Portugal hit by hurricane-force winds from Hurricane Leslie
These downpours were also fed by a conveyor belt of rain that linked up with Hurricane Leslie racing towards Portugal. Luis Belo Costa of Portugal's National Protection Agency says Sunday those injuries were not life-threatening.
Mane reportedly broke his thumb in training prior to his country's Africa Cup of Nations qualifier against Sudan on Tuesday.
One player who looks ready to resume domestic action for Liverpool is Virgil van Dijk, who Klopp confirmed is in good condition.
Neither player took part in Thursday's session at Melwood, although James Milner did return to the track nearly two weeks on from hobbling off in the scoreless draw with Manchester City.
Duchess of Sussex Meghan Markle expecting first baby with Harry, Royals announce
Prince Harry and his wife, the Duchess of Sussex , are expecting their first child in the spring, Kensington Palace said Monday. The couple is now on a 16-day tour of Australia and New Zealand, with them landing in Sydney over the weekend.
And discussing his selection options ahead of facing Huddersfield and long-time friend David Wagner, Klopp said: "One-and-a-half weeks ago everybody was quite happy or satisfied with the situation; one-and-a-half weeks later, we miss a few players".
He said: "I have known Jurgen long enough, I know he loves to use smoke screens".
"Don't believe everything you read - I expect that most of his players will be on the grass on Saturday".
"Sometimes football writes some great stories and nobody knows what is going to happen on Saturday".
Trump praises Montana GOP congressman for body-slamming reporter
Here's the video of Trump on Greg Gianforte body slamming Ben Jacobs: "Any guy that can do a body slam, he's my kind of guy". Then I said, wait a minute. "He's going to lose the election, '" Trump said.