The 23-year-old is expected to be offered a new four-year deal in the summer, and there is hope at White Hart Lane that he will extend even if Andre Villas-Boas' side finish outside the top four.
Bale told The Guardian: "We set our agenda at the start of the season to qualify for the Champions League. We want to finish in the top four and it will feel like a disappointment if we don't get there.
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"I want to play at the highest level possible and be playing against the best teams in the world. I think the club is going in the right direction. All our objectives are the same, we just have to try to achieve them now."
Villas-Boas has moved Bale into a central role this season, leading to a return of 25 goals in all competitions, but the Wales international praised the team, saying that it is the best squad he has been a part of.
He continued: "We're all working well as a team. We're all working together. The club is going in the right direction, bringing in better players every season.
"The likes of Mousa [Dembélé] and Jan [Vertonghen] have been fantastic additions to the squad and I'm sure we'll bring in a few more players into the squad again this summer. It's just a matter of progressing for everyone and reaching our targets.
"We're all of a similar age. We're all around our mid-20s. We've been playing together for three, four, five years. We've got a good firm English base there as well, which is always important for a club like Tottenham. We're heading in the right direction and hopefully there is still a lot more to come from the team."
Bale is comfortable in his new role, and is delighted that Villas-Boas has given him more responsibility this season.
"When you're younger, you're quite daunted by the manager," he added. "As I've got older, I've also got a lot closer and become a more important player so you speak to the manager more.
"This year I've been handed a lot more responsibility, which has been great. I believe I've been able to motivate myself and make myself a better player by it."
Bale still feels there is room for improvement though, despite an award-winning season and added when asked to specify: "Score more goals. More with my right, more with my left.
"I think you just have to keep going, keep plugging away. Even your best players – if you look at Lionel Messi, [each year] he scores more goals than he has any other year. Cristiano Ronaldo is the same. There is still plenty more to improve. I just have to keep my focus at this level and take it further."