The European Cup holders will begin their defence of the title against Napoli away from home on Tuesday September 17.
Jürgen Klopp's side then take on Salzburg two weeks later, before back-to-back meetings with Genk.
The Reds face Napoli at Anfield in late November and wrap up the group phase by tackling Salzburg.
Champions League fixtures
Tuesday September 17 - Napoli v Liverpool (8pm UK time)
Wednesday October 2 - Liverpool v Salzburg (8pm UK time)
Wednesday October 23 - Genk v Liverpool (8pm UK time)
Tuesday November 5 - Liverpool v Genk (8pm UK time)
Wednesday November 27 - Liverpool v Napoli (8pm UK time)
Tuesday December 10 - Salzburg v Liverpool (5.55pm UK time)