The Magpies, who saw off Sunderland and Fulham in earlier rounds, beat Blackburn Rovers 4-3 on penalties on Tuesday night to book their place in the last eight.
And their reward was a trip to the Etihad Stadium to take on the current holders - and it has now been confirmed that that tie will be played on Saturday, 16th March, with kick-off set for 5:30pm GMT.
The game will also be shown live on BBC One.
United's Premier League fixture at Crystal Palace - which was initially scheduled for Saturday, 16th March - will be rescheduled.
Any further information regarding the FA Cup clash with City, as well as a rearranged date for the trip to Palace, will be confirmed in due course.