Planning will now be taking place for the tie that will be the first of three confirmed meetings between the clubs this season. Cardiff are due at the Liberty on Sunday Nov 30th for a live Sky Championship fixture before the return in Cardiff next April.
"It's one of those inevitable draws and some rehearsal for 30 November," Cardiff chairman Peter Ridsdale told BBC Sport Wales.
"It'll make many mouths water and I don't think there will be many spare tickets!
"Even leaving aside the third round of the Cup it'll be about bragging rights, but we've just got to get on with it and win. "I've heard a lot about Swansea v Cardiff and been involved in a few emotional derbies myself, like Leeds v Manchester United.
"Our job will be to focus on the football and take the emotion out of it.
"But the first thing is to speak to Swansea and to the police, to set the exact date, sort out Cardiff's ticket allocation, and - most importantly - to ensure a safe environment for everyone."
Swansea chairman Huw Jenkins insisted that concerns over security should not dominate the fixture.
"Football has moved on and both of these clubs have moved on from some of the things that have gone on in the past," he told BBC Sport Wales.
"We're at the Liberty Stadium and Cardiff are looking forward to moving to their new ground, there are a lot more women and children coming to games.
"We can be positive, it's a fantastic draw and we look forward to a great night for Welsh football."
Arsenal v Sheff Utd
Brighton or Man City v Derby
Burnley v Fulham
Portsmouth v Chelsea
Blackburn v Everton
Rotherham v Southampton
Swansea v Cardiff
Ipswich v Wigan
Stoke v Reading
Leeds v Hartlepool
Watford v West Ham
Man Utd v Middlesbrough
Liverpool v Crewe
Aston Villa v QPR
Sunderland v Northampton
Newcastle v Tottenham