The Reds have been seeded in Group Two alongside Dinamo Moscow, Steaua Bucharest, Bursaspor, the winners of Young Boys v Zimbru Chisinau and Mura 05 v CSKA Sofia.
They will be drawn against an unseeded team from the same group, potentially lining up a clash with Dundee United, who achieved back-to-back qualification for the Europa League
The Anfield side could also face Ukrainian side FC Arsenal Kyiv or the winners of NK Osijek v Kalmar FF, FC Spartak Trnava v Sligo Rovers, Maccabi Netanya FC v KuPS Kuopio and FK Renova v FC Gomel.