Arsenal will travel to Port Vale as Chelsea take a trip to Lincoln in the Carabao Cup third round.
An eye-catching London derby will see Crystal Palace host Millwall, while Tottenham welcome Doncaster to town and Liverpool face Southampton.
Manchester United are not in the draw after a dramatic 12-11 penalty shootout defeat to Grimsby, which saw Ruben Amorim’s side go 2-0 down and force spot-kicks with a last-gasp equaliser.
Grimsby’s reward is a trip to beleaguered Sheffield Wednesday.
Elsewhere, holders Newcastle host Bradford and Brentford take on Aston Villa in an all-Premier League tie.
Carabao Cup third round draw in full
Port Vale vs Arsenal
Swansea City vs Nottingham Forest
Lincoln City vs Chelsea
Tottenham vs Doncaster
Brentford vs Aston Villa
Huddersfield Town vs Manchester City
Liverpool vs Southampton
Newcastle vs Bradford
Sheffield Wednesday vs Grimsby
Wolves vs Everton
Crystal Palace vs Millwall
Burnley vs Cardiff
Wrexham vs Reading
Wigan vs Wycombe
Barnsley vs Brighton
Fuham vs Cambridge
