Tottenham’s last-four opponents will be revealed in the draw on Sunday following Leicester’s tie with Chelsea.
Eriksen could have had an assist in the first half when he played in Son Heung-min but the striker’s goal was ruled out for offside – which was confirmed by the Video Assistant Referee.
Tottenham keeper Michel Vorm was forced to make a superb double save to deny Martin Olsson and Tammy Abraham seconds after the restart before Eric Dier’s fizzing effort came close. Son and Lucas Moura had close-range shots blocked but Eriksen settled the game with his second goal as Swansea could do nothing to prevent defeat in their first FA Cup quarter-final since 1964.
Carlos Carvalhal’s side had not lost a game at home since 2 January when Spurs claimed a 2-0 victory in the Premier League.