Thanks to a fast start against Brighton, Liverpool recorded their first triumph away from Anfield since February 15 on the south coast.
Liverpool ended a five-game winless run on the road as Mohamed Salah scored twice in a 3-1 triumph over Brighton and Hove Albion on Wednesday.
Salah and Jordan Henderson were on target inside the opening eight minutes as the Premier League champions quickly seized control on the south coast, albeit they were helped out by their opponents.
While a first away victory since a 1-0 success at Norwich City on February 15 was made trickier by Leandro Trossard's fine goal before break, Salah made sure of all three points when he headed in at a corner.