Tottenham opened the scoring at the Liberty Stadium in the 10th minute, when the excellent Christian Eriksen curled a sumptuous left-footed shot beyond Kristoffer Nordfeldt.
The dominant visitors deservedly doubled their advantage just before half-time thanks to Erik Lamela's low curling shot, before Eriksen swept home his second and Spurs' third goal of the game in the 62nd minute to earn his side an FA Cup semi-final spot at their temporary Wembley home.
Swansea 0-3 Tottenham FT:— Squawka Football (@Squawka) March 17, 2018
Pass accuracy: 78%-92%
Chances created: 2-18
Goals from Christian Eriksen and Erik Lamela give Tottenham a convincing win in Wales. pic.twitter.com/PHvfw1M6pO
Spurs are seeking a first trophy since 2008, when they beat Chelsea in the final of the League Cup. This season, the north London club
"There is still a long way to go, we are now in the semi-final and even though we feel we are close, we are far away still.
"We have the opportunity to try and get to the final. Things have changed at Wembley, no? The perception and feeling is different," he revealed.
"Seven months ago it was horrendous, now we are comfortable and happy to play there."
Tottenham next travel to Stamford Bridge - after the international break - to face Chelsea in the Premier League for what could be a determining game in the race for Champions League qualification. Spurs are currently third in the table with five more points than their fifth-placed London rivals.