Spurs have not won any silverware since lifting the League Cup in 2008, but they currently sit just four points behind Chelsea in the Premier League table and will face their title rivals in the semi-finals of the FA Cup on Saturday too.
The team's progress has been clear to see since Pochettino's arrival at the club, and Alderweireld is confident that it is only a matter of time before they mark that with a trophy.
"With this team, and with the people working for it, we will get a trophy — 100%. If it is not this season, then it will be the one after. We will do everything we can to make it happen this season," he told the London Evening Standard.
"Sometimes it is all about details. Last season we didn't win the league but we kept going. This season we already have 71 points — one more than we got in the whole of last season. Even with the disappointment of last season we have kept fighting, and this season we are in an even better position.
"Regardless of what happens during the rest of this season, we have to keep improving and get better for next season as well. The desire to achieve something and to get better, as a young group, is there. We want to play better than we did last season. We want to become better. It says a lot about the mental strength of the team."
Tottenham have not won the FA Cup since 1991, while their last league title came in 1961.