After thrashing Sevilla 4-0 in their opening match, Steven Gerrard's side lost 2-1 to Spartak Moscow after the Russian team came from behind to win last month.
Ahead of this European tie, here is our match preview.
Where is the game being played? The match will take place at the Lendava Stadium. Kick-off is set for 12pm BST (1pm local time).
How can I watch the game? We will have delayed coverage on LFCTV and LFCTV GO. Click here to sign up now.
How have Maribor fared so far? Maribor started their campaign with a 1-0 win over Spartak Moscow, but an identical scoreline in their second outing saw them lose to Sevilla.
Gerrard's charges therefore enter this round of fixtures top of the group by virtue of goal difference.