They did, however, emerge with some credit for how hard they made life difficult for Thomas Tuchel's in-form side.
Chief football writer Stuart Rayner runs the rules over the Blades players.
Aaron Ramsdale – organised his defence well and denied Christian Pulisic at the start of the second half 7
Jayden Bogle – a lively presence at wing-back 7
George Baldock – like Enda Stevens, did well in an unfamiliar position 7
Phil Jagielka – dealt with Olivier Giroud, which is never easy 7
Enda Stevens – missed a late header at the far post 7
Ben Osborn – did well at left wing-back as the Blades ramped up their threat level in the second half 7
John Lundstram – provided the excellent cross David McGoldrick should have equalised from, but little reason to pick him now with his contract up 6
Oliver Norwood – an own goal and he also created Chelsea's only first-half shot on target 5
John Fleck – ended the game as a holding midfielder 6
David McGoldrick – missed the crucial chance during a sloppy period personally 5
Oli McBurnie – had a shot saved 6.
Oli Burke (for McBurnie, 75) – did not have a chance fall his way 5
Rhian Brewster (for Norwood, 78) – had a late deflected shot ripple the side-netting 6
Lys Mousset (for Bogle, 90) – N/A.
Not used: Lowe, Foderingham, Bryan, Brunt, Gordon, Ndiaye.
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