Newcastle United or Blackburn Rovers will be ball number ten. The sides played out a 1-1 draw at St. James' Park on Saturday and will meet again at Ewood Park next week in a replay.
The draw will take place after the third round tie between Wolves and Liverpool and will be made by Mark Chapman, Carl Ikeme and Robbie Keane.
It will be shown live on BBC One.
Last season, United were drawn against eventual cup winners Chelsea at the fourth round stage, while they were handed an away tie at Oxford United at this stage in 2016/17.