Jurgen Klopp's side currently sit third in the Premier League, only being kept off top spot by goal difference, after their impressive 3-0 win at Leeds United on Sunday.
AC Milan - already seven-time European Cup winners - are also being kept off the top of their domestic table by the slimmest of margins.
They defeated Lazio 2-0 at the weekend to leave them in second place and only below top of the table Roma by goal difference. Zlatan Ibrahimovic, who marked his comeback from injury by scoring just seven minutes after coming on as a substitute at the San Siro, has been ruled out of the Liverpool game due to an Achilles tendon problem.
The other match in the 'Group of Death' on Wednesday, sees Spanish champions Atletico Madrid take on Portuguese side Porto at the Wanda Metropolitano Stadium.