Chelsea will face Bristol Rovers or Bristol City in the second round of the League Cup while Liverpool will tackle Burton Albion.
The Blues will face a wait to discover the identity of their opponents due to a quirk in the seeding system of the competition. Should Cardiff City beat Bristol Rovers on Wednesday, then it will be City who travel to Stamford Bridge. Should Rovers progress through that tie, however, they will play Antonio Conte's men.
Liverpool's future is far more straightforward, with Jurgen Klopp's men set to play Championship Burton for the first time.
Elsewhere in the draw, Everton have been drawn to play Yeovil.
Draw in full:
QPR v Rochdale
Scunthorpe v Cardiff/Bristol City
Watford v Gillingham
Peterborough v Swansea
Everton v Yeovil
Millwall v Nottingham Forest
Sunderland v Shrewsbury
Luton v Leeds
Chelsea v Bristol Rovers/Bristol City
Burton v Liverpool
Blackburn v Crewe
Accrington v Burnley
Crystal Palace v Blackpool
Morecambe v AFC Bournemouth
Preston v Oldham
Oxford v Brighton
Reading v MK Dons
Fulham v Middlesbrough
Newcastle v Cheltenham
Exeter v Hull City
Derby v Carlisle
Northampton v West Brom
Wolves v Cambridge
Stevenage v Stoke
Norwich v Coventry
> ..... - Goal