Holders Manchester United have been drawn at home to Wolves in the fourth round of the Carling Cup, while Liverpool's conquerors, Northampton Town, travel to Portman Road to take on Ipswich Town.
Having knocked out Chelsea at Stamford Bridge in round three, Newcastle United play host to Arsenal in the last 16, while Roberto Martinez will face his former club when Swansea City head to the DW Stadium to take on Wigan Athletic.
League One Brentford's reward for knocking out Everton is a trip to St Andrew's to face Birmingham City.
Fourth round draw:
Newcastle United v Arsenal.
Birmingham City v Brentford.
Wigan Athletic v Swansea City.
Aston Villa v Burnley.
Leicester City v West Bromwich Albion.
Manchester United v Wolves.
West Ham v Stoke City.
Ipswich Town v Northampton Town.
Ties to be played the week commencing October 25.