Spurs have faltered recently in their bid to return to Europe's elite and currently sit fifth, four points behind Manchester City who occupy the final qualification spot.
World stage: Huddlestone (right) has savoured playing in Europe against the likes of Inter Milan's Wesley Sneijder (right)
Liverpool have also closed to within three points of Harry Redknapp's side, albeit having played a game more.
'We want to be in fourth.
'We don't want to be hanging on for fifth position. We have to look up and we want to finish where we were last season.
'Once you have had a taste of the Champions League, you want more. Maybe we're getting a bit greedy but we have shown that we can compete with the best in the competition, so to not be in it next year would be very disappointing.'
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