Meanwhile, Philippe Coutinho (thigh) and Mohamed Salah (groin) both remain sidelined for the FA Cup third-round tie at Anfield.
However, speaking at Thursday's pre-match press conference, Klopp insisted he will field the 'strongest line-up' available to him in what will be the 230th Merseyside derby.
The Reds' starting XI will include Karius, with Danny Ward set to be named on the bench. Van Dijk's involvement is not certain, though.
The centre-back is available to represent the Reds for the first time following his January 1 transfer from Southampton after training with his new teammates at Melwood this week.