Mauricio Pochettino's men proved to be the last side to stand between Leicester and the Premier League title.
After finishing fifth in the previous campaign, Mauricio Pochettino's side surprised many by finishing third in the Premier League table, and being the final team that stood between Leicester City and the title.
And Alderweireld - whose arrival last summer has been one of the key reasons why Spurs have enjoyed so much success this term - explained that coming so close to glory this time around will stand them in good stead in the future.
"We want to win it, we'll go for it," he told Sky Sports.
"That's the different mindset from the beginning of this season [where] top four [would] be brilliant, and now I think the mindset will be different."
Though Tottenham fell at the final hurdle, the confidence that they will have gained from putting themselves in that position in the first place will be extremely helpful should they find themselves in a similar position in the future.
And the Belgian's suggestion that Spurs will go into next season believing that they should be challenging for the title - along with the fact that Pochettino may be able to use the lure of Champions League football to attract quality players to White Hart Lane in the summer - should surely make them one of the favourites to seize the initiative and set the pace in next term's title race.