Chelsea will host either Bristol City or Bristol Rovers while Liverpool will face Championship club Burton Albion in the second round of EFL (League) Cup.
Premier League clubs not participating in European competitions were in the hat for the second-round draw which took place on Wednesday.
In other fixtures, League Two club Stevenage will host Stoke City, Sunderland will host Shrewsbury Town, Crystal Palace will play Blackpool at Selhurst Park, West Bromwich Albion will head to Northampton Town, and newly-promoted Middlesbrough will travel to Fulham.
The games in the second round will be played in the week starting from August 22.
Here is the complete list of fixtures:
Morecambe vs Bournemouth
Preston vs Oldham
Oxford vs Brighton
Reading vs MK Dons
Newcastle vs Cheltenham
Exeter vs Hull
Derby vs Carlisle
Northampton vs West Brom
Wolves vs Cambridge
Stevenage vs Stoke
Norwich vs Coventry
QPR vs Rochdale
Scunthorpe vs Cardiff/Bristol City
Peterborough vs Swansea
Everton vs Yeovil
Luton vs Leeds
Chelsea vs Bristol Rovers/Bristol City
Blackburn vs Crewe
Accrington vs Burnley