Championship side Swansea City will host Manchester City in the FA Cup fifth round in February.
The draw, made at the same time as the fourth-round draw on 11 January, sees second-tier Barnsley host Premier League Chelsea after beating Championship high-flyers Norwich.
West Ham will travel to Manchester United, while Championship side Bristol City visit Sheffield United.
The ties will be played in the week commencing 8 February.
FA Cup fifth-round draw
Burnley v Bournemouth/Crawley Town
Manchester United v West Ham
Sheffield United v Bristol City
Wolves v Southampton
Barnsley v Chelsea
Everton v Wycombe/Tottenham
Swansea City v Manchester City
Leicester v Brighton