Fresh from receiving their full Sky Bet League One fixture list on Wednesday morning, Stuart McCall's men can now add a trip to Accrington's Wham Stadium to their 2016/2017 season schedule following this afternoon's draw.
The tie is scheduled to take place the week commencing 8 August 2016, meaning the game is set to be City's second of the season following their league opener with Port Vale at Valley Parade just days earlier.
Wednesday's first round draw was streamed live on Facebook for the very first time via Sky Sports.
City last trip to Accrington came back in September 2012 when Alan Connell's superb lob secured a point for the Bantams in a 1-1 draw.
Interestingly, McCall's previous visit to Accrington during his first spell as City boss resulted in an entertaining 3-2 win for Bradford.
Two goals down with only ten minutes to go, McCall's men somehow fought back for victory thanks to late goals from Michael Boulding, Barry Conlon and Peter Thorne.
John Coleman's Accrington lost out in the Sky Bet League Two Play-Off semi-finals last season to eventual winners AFC Wimbledon.
Ticket details for this tie will be announced in due course.
The season's competition will be named the EFL Cup after formerly been known as the Capital One Cup in recent years.
City, of course, enjoyed great success in this competition just over three years ago when they made it to Wembley before eventually losing out in the grand final to Swansea City.
The full EFL Cup Round One draw is:
Carlisle United v Port Vale
Rotherham United v Morecambe
Accrington Stanley v Bradford City
Rochdale v Chesterfield
Mansfield v Blackburn Rovers
Barnsley v Northampton Town
Cambridge United v Sheffield Wednesday
Derby County v Grimsby Town
Oldham Athletic v Wigan Athletic
Scunthorpe United v Notts County
Doncaster v Nottingham Forest
Burton Albion v Bury
Fleetwood Town v Leeds United
Sheffield United v Crewe Alexandra
Shrewsbury v Huddersfield Town
Preston North End v Hartlepool United
Blackpool v Bolton Wanderers
Peterborough Untied v AFC Wimbledon
Bristol Rovers v Cardiff City
Coventry City v Portsmouth
Luton Town v Aston Villa
Brighton & Hove Albion v Colchester United
Cheltenham Town v Charlton Athletic
Birmingham City v Oxford United
Southend United v Gillingham
Wolverhampton Wanderers v Crawley Town
Leyton Orient v Fulham
Ipswich Town v Stevenage
Wycombe Wanderers v Bristol City
Walsall v Yeovil Town
Exeter City v Brentford
Queens Park Rangers v Swindon Town
Rotherham United v Morecambe
Accrington Stanley v Bradford City
Rochdale v Chesterfield
Mansfield v Blackburn Rovers
Barnsley v Northampton Town
Cambridge United v Sheffield Wednesday
Derby County v Grimsby Town
Oldham Athletic v Wigan Athletic
Scunthorpe United v Notts County
Doncaster v Nottingham Forest
Burton Albion v Bury
Fleetwood Town v Leeds United
Sheffield United v Crewe Alexandra
Shrewsbury v Huddersfield Town
Preston North End v Hartlepool United
Blackpool v Bolton Wanderers
Peterborough Untied v AFC Wimbledon
Bristol Rovers v Cardiff City
Coventry City v Portsmouth
Luton Town v Aston Villa
Brighton & Hove Albion v Colchester United
Cheltenham Town v Charlton Athletic
Birmingham City v Oxford United
Southend United v Gillingham
Wolverhampton Wanderers v Crawley Town
Leyton Orient v Fulham
Ipswich Town v Stevenage
Wycombe Wanderers v Bristol City
Walsall v Yeovil Town
Exeter City v Brentford
Queens Park Rangers v Swindon Town
Barnet v Millwall
Reading v Plymouth Argyle
Newport Town v Milton Keynes Dons
Reading v Plymouth Argyle
Newport Town v Milton Keynes Dons