Carabao Cup holders Newcastle will face Bradford at home in the third round, while Grimsby meet Sheffield Wednesday, Manchester City play Huddersfield, and Arsenal travel to Port Vale.
Carabao Cup holders Newcastle will start the defence of their crown at home to League One Bradford in the third round.
League Two Grimsby Town will travel to Championship Sheffield Wednesday after shocking Manchester United in a spectacular penalty shootout win at Blundell Park.
Manchester City will take on League One Huddersfield Town at the Accu Stadium while Arsenal will travel to Port Vale.
Full fixtures:
Port Vale v Arsenal
Swansea v Nottingham Forest
Lincoln City v Chelsea
Tottenham v Doncaster
Brentford v Aston Villa
Huddersfield Town v Manchester City
Liverpool v Southampton
Newcastle v Bradford City
Sheffield Wednesday v Grimsby Town
Wolves v Everton
Crystal Palace v Millwall
Burnley v Cardiff City
Wrexham v Reading
Wigan v Wycombe
Barnsley v Brighton
Fulham v Cambridge