Ex-Reds Peter Schmeichel and Dion Dublin conducted the draw at Old Trafford and selected Manchester City and Liverpool together.
The fourth round will take place the week commencing 19 December, following the conclusion of the World Cup, and will mark our return to domestic action.
Exact fixture details will be confirmed in due course.
United last lifted the trophy in 2017, the fifth time we got our hands on this particular piece of silverware.