Cody Gakpo bagged a brace and Mohamed Salah hit 199 goals for the club as Jurgen Klopp’s side ran out as 4-0 winners at Anfield.
The Hammers are one of several teams able to book their spot in at least the play-off round on matchday five. Group winners go straight into the last-16 whereas runners-up face the demoted Champions League teams in a play-off. If David Moyes and his side avoid defeat to Freiburg, they will have won their group.
Brighton sealed their place with victory away to AEK Athens, while Tomas Soucek struck late to see West Ham past Backa Topola.
Rangers, meanwhile, drew 1-1 with Aris Limassol, meaning they need to beat Real Betis on the final match day to progress.
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