English Football League newcomers Harrogate Town will travel to Premier League side West Brom in the second round of the Carabao Cup.
Burnley host Sheffield United in an all-Premier League second-round tie.
Last season’s runners-up Aston Villa, who lost 2-1 to Manchester City in the final, will travel to Burton.
Everton play Salford City at Goodison Park, while Premier League newcomers Leeds United face Hull City.
Bournemouth, relegated to the Championship last season, face Crystal Palace at the Vitality Stadium.
Wolves host Stoke, while fellow top-flight side Newcastle United will welcome Blackburn Rovers to St James’ Park.
West Ham have been drawn against League One’s Charlton and Premier League newcomers Fulham travel to Ipswich Town.
The second round ties will be played week commencing 14 September.
The draw for the third round – when Premier League clubs who have qualified for Europe enter the competition – was made at the same time.
Manchester City, winners in the past three seasons, will be at home to either Bournemouth or Crystal Palace, while Premier League champions Liverpool will travel to the winner of the second-round tie between League Two Bradford and League One Lincoln.
Luton or Reading will host Manchester United in round three, while Tottenham will play Leyton Orient or Plymouth.
Third round games are to be played week commencing 21 September.
Round Two North
Bradford City v Lincoln City
Burnley v Sheffield Utd
Burton Albion v Aston Villa
Derby County v Preston North End
Everton v Salford City
Fleetwood Town v Port Vale
Leeds Utd v Hull City
Middlesbrough v Barnsley
Morecambe v Oldham
Newcastle Utd v Blackburn Rovers
Rochdale v Sheffield Wednesday
West Brom v Harrogate Town
Wolves v Stoke City
Round Two South
Bournemouth v Crystal Palace
Brighton v Portsmouth
Bristol City v Northampton Town
Gillingham v Coventry City
Ipswich Town v Fulham
Leyton Orient v Plymouth Argyle
Millwall v Cheltenham Town
Newport County v Cambridge Utd
Oxford Utd v Watford
Reading v Luton Town
Southampton v Brentford
West Ham Utd v Charlton Athletic
Bradford City/Lincoln City v Liverpool
Bristol City/Northampton Town v Burton Albion/Aston Villa
Morecambe/Oldham v Newcastle Utd/Blackburn Rovers
Reading/Luton Town v Manchester Utd
Derby County/Preston North End v Brighton/Portsmouth
Ipswich Town/Fulham v Rochdale/Sheffield Wednesday
Manchester City v Bournemouth/Crystal Palace
West Ham Utd/Charlton Athletic v Leeds Utd/Hull City
Millwall/Cheltenham Town v Burnley/Sheffield Utd
Chelsea v Middlesbrough/Barnsley
Wolves/Stoke City v Gillingham/Coventry City
Leicester City v Arsenal
West Brom/Harrogate Town v Southampton/Brentford
Newport County/Cambridge Utd v Oxford Utd/Watford
Fleetwood Town/Port Vale v Everton/Salford City
Leyton Orient/Plymouth Argyle v Tottenham