Liverpool said on Wednesday that forward Sadio Mane had undergone successful surgery on a hand injury he sustained while on worldwide duty with Senegal.
Of the three, Guinea worldwide Keita-who was carried off the artificial pitch in Rwanda on the back of a team-mate on Tuesday-is the only one who will definitely miss the trip to Huddersfield.
'A few of the boys trained and we will see what they reacted after that.
"We're pretty sure that Naby will not be available", said Klopp.
Van Dijk played the entirety of the Netherlands' win over Germany on Saturday and then returned to Liverpool - missing Tuesday's friendly with Belgium.
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It has been a troubled break for the Reds, with Mohamed Salah and Naby Keita also doubts for Saturday's Premier League clash with Huddersfield, while Virgil van Dijk has been playing despite a rib problem.
Mane underwent surgery on Wednesday after returning from worldwide duty where Senegal trounced Sudan 3-0 on Saturday.
Salah and Van Dijk withdrew from their national teams over the worldwide break amid fitness concerns, but trained at Melwood on Thursday afternoon.
'It settled pretty quickly. What exactly it is is not important.
Liverpool head in to the weekend action sitting level on points with Manchester City and Chelsea at the top of the Premier League table so Klopp will want to at least maintain that status with another win over Huddersfield.
'It's all good, he has no problems with that anymore'.