Liverpool could face an FA Cup semi-final tie against Merseyside rivals Everton.
The Toffees will have to emerge victorious from their replay against Sunderland on Tuesday week to make the derby possible.
Roberto Di Matteo's Chelsea will face either Tottenham Hotspur or Bolton Wanderers for a place in the Wembley.
Yesterday's match between Spurs and Bolton was abandoned after Wanderers midfielder Fabrice Muamba suffered a cardiac arrest on the White Hart Lane pitch.
FA Cup semi-final draw:
Tottenham Hotspur or Bolton Wanderers vs. Chelsea
Liverpool vs. Everton or Sunderland
Ties to be played on the weekend starting April 14.