With the Reds still to face Red Bull Salzburg and Napoli in their final games in Group E they can ill-afford any slip-ups at Anfield.
Liverpool were beaten by Napoli on matchday one, but two successive victories since then have put them a point behind the Serie A side with three games to play.
Jurgen Klopp’s side triumphed 4-1 in the reverse fixture and are big favourites to follow up on home soil.
Genk are currently eighth in the Belgian Pro League following their 2-0 defeat at Eupen on Saturday.