Fulham gave Liverpool a fright in their 1-1 stalemate on Wednesday, but the Reds prevailed 3-2 on aggregate to reach the League Cup final.
Liverpool, who led 2-1 from the first leg, extended their advantage with a Luis Diaz strike in the first half at Craven Cottage.
It looked like a smooth sail for Jurgen Klopp’s men, but they squandered many opportunities to bury Fulham.
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Issa Diop’s late goal sparked a thrilling finale, as Fulham bombarded Liverpool with pressure.
But Liverpool held their nerve and secured their spot in the final showdown with Chelsea.