Southampton have set up an FA Cup clash with Liverpool, as Sekou Mara struck twice in a 3-0 defeat of fellow Championship side Watford in a fourth round replay.
Leeds United have also reached the fifth round, as they overcame Plymouth Argyle 4-1 after extra time, while Coventry City trounced Sheffield Wednesday 4-1 to earn a tie with minor league Maidstone United.
Leeds will play either Chelsea or Aston Villa, who will decide their tie on Wednesday.
Promotion remains Southampton's priority, but after extending their unbeaten run in all competitions to 24, they will relish a crack at Juergen Klopp's English Premier League leaders.
After a turgid first half at St Mary's, the game exploded into life after the interval, with Frenchman Mara scoring twice in the space of six minutes.
He opened the scoring in the 52nd minute, after a clever touch by Che Adams, and soon after that, teenager Tyler Dibling surged forward and found Adams, who in turn fed Mara to fire powerfully home from 20 metres.
Adams then grabbed his 10th goal of the season, as he got on the end of Joe Rothwell's free-kick.
Wilfried Gnonto's well-taken goal looked like booking Leeds a place in the fifth round, but hosts Plymouth levelled late, when Brendan Galloway bundled in from close range.
With rain pouring down, Crysencio Summerville came off the bench to put Leeds ahead in the first half of extra time, curling in a sublime finish after a jinking run.
Georginio Rutter made it 3-1 and Plymouth were left with no hope, after an own goal by Ryan Hardie.
Reuters