Kane suffered ankle ligament damage against Bournemouth that is expected to keep him out until April, but on the evidence of Spurs' display at the Liberty Stadium on Saturday, they should be able to cope without him for the time being.
"A storm came today and after that storm will come some good weather", said the Swans manager.
During their run to this stage, Swansea haven't made it easy for themselves as they have required replays in every round to date.
The victory raised Tottenham's hopes of a first trophy since they won the League Cup in 2008. The race for Champions League qualification continues - they are among the four teams battling for three spots behind City - but the FA Cup has also suddenly become a priority. But the moment you lift the trophy and then put it down, that disappears.
Tammy Abraham showed up well in those early moments, but the England youngster soon vanished nearly without trace as Spurs dominated possession and showed a predatory touch even without Kane. I'm very happy and very pleased.
Dele Alli, Mousa Dembele and Hugo Lloris were all left on the bench, but there was no way back for Swansea in their first FA Cup quarterfinal in 54 years after Eriksen's 11th-minute opener.
The South Korean worldwide has emerged as a prominent player under Carlos Carvalhal and he will be important this weekend. For us to progress, we would have to be at our best, and they have a bad afternoon.
Harry Kane's injury will mean more game time for Fernando Llorente, who has been a spectator for the majority of the season.
Christian Eriksen celebrates netting Spurs' third goal. If they deliver a similar performance on Saturday, they will be knocked out of the competition. The visitors should have enough in their ranks to win the game in Wales and qualify for the semi-finals.
This is also Conte's second year at Chelsea - and it could be his last after an unsettling season in which he has regularly sniped at the club's board for not signing the players he wanted in order to build on winning the Premier League.
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