The 23-year-old joined the Tigers on a season-long loan deal in August and has featured in eight of Hull's opening nine Premier League fixtures.
Livermore, who joined the youth system at White Hart Lane in 2006, has spent six spells on loan since graduating to senior level, making just 27 first-team starts in three years for his parent club.
All Livermore's previous loans have seen him drop into the lower leagues but he is now relishing the opportunity to play in the top flight and insists more young players need the same chance.
"I'd gone stale at Tottenham," he told Telegraph Sport. "It's nice to come somewhere I feel wanted and feel central to what the team is trying to achieve.
"I don't think the biggest problem facing English football is producing players, I think the biggest problem is giving young players enough experience in the Premier League.
"You need to get an opportunity in order to take one. Some clubs give those opportunities, others don't, and I've come to Hull to get one."
Fellow midfielder Tom Huddlestone also joined Hull in the summer as Tottenham invested heavily in overseas talent, yet Livermore remains adamant the switch is not a step down.
"Managers are so wrapped up in trying to win the next game because that's the most important thing for the club," he added.
"I'd reached a point in my career where I didn't just want to be a squad player sitting on the bench here and there.
"I don't see playing for Hull as a backward step. I've seen players leave Spurs and go on to realise their full potential. Look at Kevin-Prince Boateng, he couldn't get a look-in at Spurs. Six months later he's playing week in, week out at AC Milan.
"You have to make sure you do what is right for your development. Don't be afraid to leave a big club if it's not working for you."
Livermore has become a regular feature in Steve Bruce's side and believes becoming a constant presence in the Premier League is key if he is to be spotted by England manager Roy Hodgson.
"I want people to look at me as someone who can pull Hull through games, I want that expectancy," he said. "It's been nice for me to be perceived as someone who can do that here and the aim is to make sure we stay in the Premier League.
"I want to kick-start my career. England is obviously an ambition in a World Cup year. I've had a taste of it and I want more."