Manchester City moved through to the FA Cup semi-finals after a hard-fought 3-2 win over Swansea City at the Liberty Stadium.
The draw will take place straight after the quarter final tie between Millwall and Brighton & Hove Albion on Sunday 17 March.
It will be live on BBC One and will be conducted by Leon Osman and Jimmy Floyd-Hasselbaink.
Semi-final ties will take place at Wembley Stadium on Saturday 6 April and Sunday 7 April.
The FA Cup Final is scheduled for Saturday 18 May.
Ball numbers:
1 MANCHESTER CITY
2 WATFORD
3 WOLVERHAMPTON WANDERERS OR MANCHESTER UNITED
4 MILLWALL or BRIGHTON & HOVE ALBION