The Dutch skipper scored in his country's 3-0 win over Germany last week and is now expected to be fit for Liverpool's clash with Huddersfield this weekend.
Sadio Mane, who reportedly broke his left thumb on global duty for Senegal, underwent surgery on Wednesday, Liverpool confirmed.
Van Dijk also returned to Merseyside early due to an on-going rib injury that's hampered him in recent weeks but Klopp has confirmed the Dutch worldwide has fully recovered and is available to face the Terriers.
The Reds boss confirmed a blow with the news that Naby Keita is expected to miss the game tomorrow afternoon after suffering a hamstring injury while away on global duty with Guinea earlier this week.
Salah was forced off late in Egypt's Africa Cup of Nations qualifier with Swaziland on Saturday because of a groin issue and missed the return fixture three days later.
James Milner also trained on Thursday, having injured his hamstring in Liverpool's game with Manchester City over the global break.
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Salah had a tremendous first season on Merseyside, breaking several records and clinching lot of individual accolades, including the English Premier League Player of the Year.
Mane's participation is less likely after he sustained a broken thumb, and hamstring problems for midfield duo James Milner and Keita could also keep them sidelined.
Wagner said Saturday's match represented a chance to build on a 1-1 draw at Burnley last time out.
"Obviously he knows that he needs to try and do a little more than he is doing right now but he's giving his all and I'm not anxious at all".
Information from Reuters was used in this story.