Phil Parkinson's side were handed the exciting encounter during this Wednesday evening's second round draw. City booked their place in the draw following victory at Sky Bet League 2 side Morecambe this Tuesday.
The forthcoming West Yorkshire derby will be Leeds' first visit to the Coral Windows Stadium in nearly fourteen years.
City's last match with Leeds saw them visit Elland Road back in August 2011.
The tie is scheduled to take place the week commencing 25 August 2014.
Ticket details for this tie will be announced in due course.