Having disposed of Manchester United at Old Trafford on Saturday, defending FA Cup champions Arsenal must now take on Chelsea in a rematch of last year's final.
Arsenal, 15-8 favourites to win the cup again, will be at home when the match takes place on the weekend of March 8th and 9th. They have only lost to their London rivals once in the last five seasons.
Sheffield United will meet Leeds United in an all-Yorkshire tie, with the first division club looking for a double over Leeds this season after knocking them out of the League Cup in November.
Southampton will face first division Wolverhampton Wanderers at St Mary's with ex-Saints manager David Jones looking to avenge his dismissal by his former club.
First Division Watford will fancy their chances of a place in the semi-finals after being drawn at home against either struggling Fulham or first division outsiders Burnley.
They drew 1-1 in the fifth round in London yesterday and replay at Turf Moor on Wednesday week.
FA Cup quarter-final draw
Watford v Fulham / Burnley
Southampton v Wolves
Arsenal v Chelsea
Sheffield Utd v Leeds Utd