In a repeat of the 1983 FA Cup final, Jose Mourinho's United will take on Brighton at Old Trafford after Romelu Lukaku scored twice to see off Huddersfield in the fifth round.
Brighton are in the quarter-finals for the first time since 1986 after beating Coventry and will be hoping to cause an upset. When the two teams met in the 1983 final, United won 4-0 in a replay after a 2-2 draw in the first match at Wembley.
The last two Premier League champions will clash at the King Power Stadium, with Leicester playing host to Chelsea, who both overcame lower league opposition in the last 16.
Southampton will be away from home in the last eight, but must wait to learn their opponents as Premier League leaders City are not in cup action until Monday.
There is the potential for a semi-final quartet of Chelsea, City, United and Spurs, although Mauricio Pochettino's side have some way to go before thinking about the last four.
Spurs take on Rochdale on Sunday and, if they win that game, will then have to travel to the winners of Sheffield Wednesday or Swansea, who drew 0-0 at Hillsborough.
|Mar 17-18||Sheffield Wednesday/Swansea City vs Rochdale/Tottenham|
|Mar 17-18||Manchester United vs Brighton|
|Mar 17-18||Leicester City vs Chelsea|
|Mar 17-18||Wigan/Manchester City vs Southampton|