The last-eight tie, our reward for convincing victories over Barnsley and Leicester City in the competition, will take place on Thursday 19 December.
Kick-off at the Tottenham Hotspur Stadium is 20:00 GMT and the match is being shown live on Sky Sports Main Event.
The other three matches are being played a day earlier, with staggered start times.
Arsenal and Crystal Palace compete in a London derby, Newcastle United host Brentford and Liverpool are away at Southampton.
CARABAO CUP QUARTER-FINALS
Wednesday 18 December
Arsenal v Crystal Palace (19:30 GMT)
Newcastle United v Brentford (19:45 GMT)
Southampton v Liverpool (20:00 GMT)
Thursday 19 December
Tottenham v UNITED (20:00 GMT)
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