Manchester United will face League Two side Grimsby Town in the second round of the Carabao Cup, plus there are two all-Premier League ties.
Bournemouth will host Brentford while Wolves play West Ham when the 11 Premier League clubs not participating in a European competition enter the Carabao Cup in the second round.
Promoted Leeds face Sheffield Wednesday in the Yorkshire derby and Everton will host League One Mansfield.
League One Doncaster's reward for their 4-0 drubbing of Middlesbrough is a trip to Accrington, while Bromley host League One Wycombe after dumping Ipswich, who spent last season in the Premier League, out on penalties.
The EFL confirmed Premier League teams that had qualified for Europe last season would receive an automatic bye into round three.
Liverpool, Manchester City, Arsenal, Chelsea, Tottenham, Newcastle, Aston Villa, Nottingham Forest and Crystal Palace are the nine top-flight clubs who have automatically progressed.
Carabao Cup second-round ties will be played during the week commencing August 25.
Carabao Cup second round in full:
Grimsby vs Man Utd
Fulham vs Bristol City
Norwich vs Southampton
Oxford United vs Brighton
Reading vs AFC Wimbledon
Bournemouth vs Brentford
Millwall vs Coventry
Wolves vs West Ham
Swansea vs Plymouth
Bromley vs Wycombe
Cardiff vs Cheltenham
Cambridge Utd vs Charlton
Tranmere or Burton* vs Lincoln
Accrington vs Doncaster
Wigan vs Stockport
Stoke vs Bradford
Burnley vs Derby
Sunderland vs Huddersfield
Birmingham vs Port Vale
Preston vs Wrexham
Barnsley vs Rotherham
Sheffield Wednesday vs Leeds
Everton vs Mansfield
*Tranmere vs Burton was postponed and will be played on Tuesday August 19
