Chelsea are through to the FA Cup last four after holding off Sheffield United and winning 2-0 in the quarter-finals on Sunday.
The home side dominated most of the opening quarter of the game without creating too many chances, but the pressure told when Ben Chilwell’s fizzed, low shot was directed into his own net by the outstretched boot of Oliver Norwood.
While the performance of the Blades was improved from their drubbing at Leicester last weekend in terms of organisation, they rarely threatened or got players into the attacking penalty box, leaving Kepa Arrizabalaga a mere spectator between routine saves at the start and end of the first half.
Christian Pulisic created himself a couple of shooting chances either side of the break after good individual runs, but David McGoldrick missed a glorious opportunity to net an equaliser when he sent a diving header wide from five yards.
A late flurry of attacks from the away side threatened an equaliser and Rhian Brewster almost found the bottom corner but for a deflection, before Hakim Ziyech netted one in injury time on the break to leave Thomas Tuchel with another win and another clean sheet, plus a semi-final to look forward to.