The Canaries endured a nightmare start to their Premier League campaign but have witnessed their fortunes turn around in recent weeks with a win over Arsenal and a hard-fought draw at Aston Villa.
However, the East Anglia club will have a tough task on their hands if they are to progress to the next round of the competition, as they face a Spurs side who recently moved into the top four following a win at Southampton.
Hughton told Sky Sports: "There aren't many teams that will win this competition so if you have an opportunity to progress it's a big plus for the club.
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"We accept what we are as a club and accept that nothing will come to us easily. We have to fight for what we get. But we are in good form at the moment with a win and draw from our last two games lifting everybody.
"[Tottenham] have a lot of quality in the team. But the fact we gave a good account of ourselves at White Hart Lane gives us confidence that we will do ok.We're at home and we must make sure we'll give our crowd plenty to cheer about."
Norwich's poor start to the league season has left them sitting just three points clear of the relegation zone. However, Hughton believes that their position does not reflect their performances.
"Most managers will say they should have more points but I genuinely feel that our performances have warranted better outcomes and that gives us confidence," he explained.
"If you can beat Arsenal at Carrow Road that gives you confidence. Against Villa on Saturday it should have been a winning performance."