Elsewhere in the draw, European champions Chelsea face Championship side Wolves, who booked their spot in the last 32 of the competition with a 3-1 win over Northampton on Wednesday night.
|6/1||Shinji Kagawa is 6/1 with PaddyPower to score the first goal against Southampton|
Premier League holders Manchester City welcome Aston Villa to Eastlands and Liverpool travel to West Brom in two high-profile clashes between top-flight sides.
Arsene Wenger is likely to take the chance to blood youngsters in the third round with Arsenal drawn at home to League One side Coventry City.
Tottenham will be on their travels to play Carlisle while in-form Everton face a tough-looking trip to meet Championship side Leeds United.
Sunderland are also away from home against MK Dons, while Paolo Di Canio's Swindon side face a home clash against Burnley as their reward for knocking out Stoke City.
Full draw for League Cup Third Round (Premier League teams in bold):
Arsenal v Coventry City
Bradford City v Burton Albion
Carlisle United v Tottenham
Chelsea v Wolves
Crawley Town v Swansea City
Leeds v Everton
Manchester City v Aston Villa
Manchester United v Newcastle
MK Dons v Sunderland
Norwich v Doncaster
Preston v Middlesbrough
QPR v Reading
Southampton v Sheffield Wednesday
Swindon v Burnley
West Brom v Liverpool
West Ham v Wigan