The attacking-midfielder was influential in the first-half, using his flair to try to make things happen and create chances, he looked lively and came close to scoring, forcing the keeper into a good save.
The game opened up as Spurs lost a bit of shape, giving the hosts hope of securing a cup upset.
Dele Alli has only started five games this season and was substituted at halftime in meetings against Everton and Antwerp.
"I know on the bench they had Vokes and they had Fletcher on the pitch, I knew that if the result goes in that direction they would have a go and we needed to kill the game". To win other trophies you need to win much more matches. While he was walking to the dressing room he told me immediately that he couldn't come for the second half. I think in the top four divisions. they've kept more clean sheets than anybody, so you'd have to say they put up a good fight but Spurs comfortably won.
They are third in the Premier League and have won their last three matches in all competitions.
Chasing a first major trophy since winning the League Cup in 2008, the Premier League side totally dominated the first half and took a deserved lead when Gareth Bale flicked in a cute 22nd minute header from a Harry Winks cross.
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Serge Aurier's place is surely under threat, after he gave away a penalty in Spurs's last league game against Leicester City. "But they are two very hard matches", he added.
There were some real creative moments against Stoke where he showed shades of what everyone knows he can do, but he's played in just 11 games so far this season in all competitions and it's nearly impossible for him to build any kind of rhythm.
Stoke manager Michael O'Neill said Stoke were too timid in the first half, but he was not displeased overall. Man City are very hard.
If they manage to progress, the prospect of a mouthwatering clash against either Manchester City or Manchester United awaits at Wembley, teams they have already managed to beat convincingly this season.
"Spurs showed their class".
"We haven't played against that quality in terms of their front three, we are playing against the highest Premier League quality".