However, having won 15 and lost none of their last 20 group stage home matches, they are 23/20 (2.15) favourites with bet365 to put themselves on course for a place in the last 16 with a big win here.
Meanwhile, victory would be enough to send Jurgen Klopp's men through to the next round should Red Star fail to beat Napoli, although they are 11/5 (3.20) outsiders to come out on top in the French capital.
The hosts were held to draws in both of their last two matches against Napoli, and there are odds of 3/1 (4.00) on them being forced to settle for a single point once again in this one.
Neymar and Kylian Mbappe both trained on Tuesday after missing Saturday's win over Toulouse with injuries sustained on the international break, although Dani Alves and Layvin Kurzawa were both part of that squad for the first league match this season.
Joe Gomez has travelled after an ankle injury ruled him out of Saturday's victory at Watford, along with Sadio Mane who was in danger of missing out through illness. Alex Oxlade-Chamberlain and Adam Lallana are long-term absentees.
With so much at stake, it would be a major surprise if this game proved as open as the Reds' exciting 3-2 win in the reverse fixture.
Indeed, Klopp's side have failed to score in both of their away matches so far, and have only struck six times in their last six games on the road in total.
Having conceded only seven times in the 12 fixtures since that Anfield defeat, Thomas Tuchel's team should feel confident of putting up a far more robust resistance in this must-not-lose encounter.
In fact, odds of 13/8 (2.63) could prove excellent value on a tense and tight affair producing under 2.5 goals for Liverpool's sixth away game in seven.
Odds correct at the time of writing. Please gamble responsibly.