Kick-off will be 8pm at Wembley Stadium, connected by EE. The match will be settled on the night with extra time and penalties if required.
Ticket details will follow in due course.
Here is the fourth round draw in full:
TOTTENHAM HOTSPUR v West Ham
Bristol City v Crystal Palace
Swansea v Manchester United
Arsenal v Norwich City
Chelsea v Everton
Manchester City v Wolves
Leicester v Leeds United
Bournemouth v Middlesbrough