Liverpool are also sweating on the fitness of striker Mohamed Salah, who picked up a groin injury on worldwide duty with Egypt while fellow forward Sadio Mane is a major doubt after having hand surgery.
Mane was one of four Liverpool players to give Jurgen Klopp an injury scare over the global break.
A spokesperson for the EFA said the "allegations are incorrect", but did confirm Salah arrived at the Egypt squad with a report on his medical condition - as is common practice.
Liverpool released a statement yesterday announcing Mane had undergone surgery on a hand.
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.
Gaza clashes 'cannot continue': Israeli defence minister
It has accused Hamas of using the mass protests as a cover to infiltrate into Israel and carry out attacks. The permitted fishing zone along the Gaza coast was also reduced to three nautical miles.
James Milner, meanwhile, is also a worry after departing Liverpool's last fixture before the break, their scoreless draw with Manchester City, with a hamstring injury.
Liverpool manager Jurgen Klopp has once more criticised the Nations League, comparing the tournament to watching opera every night or having world heavyweight champion Anthony Joshua box week in week out.
Sources have told ESPN FC that Salah (groin) and Van Dijk (ribs) are expected to be fit for Liverpool's trip to Huddersfield Town on Saturday evening.
Sadio Mane's availability is less certain as the attacker wasn't able to train on Thursday after undergoing surgery on a broken thumb that he sustained while away with Senegal so he is a doubt this weekend. Koeman also said he believed Van Dijk would be "ready to play" against Huddersfield.
On the other hand, Huddersfield have been struggling to perform in their last 8 matches in the EPL, as they are yet to have a single win.