The home clash with the Rams is the reward for a 1-0 victory over Peterborough United at Old Trafford in the third round, with schoolboy striker Gabriel scoring the only goal of the tie.
Our fourth-round clash will also be staged at the Theatre of Dreams, offering fabulous experience to Darren Fletcher's youngsters and providing a great opportunity for supporters to attend and cheer the Reds on.
The date for the diary is Friday 23 January, with kick-off at 19:00 GMT.
Information on MUTV's coverage of the tie will be relayed in due course and tickets will be available to purchase here.