Toby Alderweireld claims their achievements under Mauricio Pochettino should be credited but admitted they want to win trophies.
Following Spurs elimination from two domestic Cup competition inside four days, Pochettino claimed winning trophies only served to build ego
But Alderweireld insists Spurs are focused on improving as a club as they bid to end their trophy drought.
“We want to win trophies of course,” he told Sky Sports ahead of Tottenham’s Premier League clash against Watford on Wednesday night.
“We don’t want to go out in the cup. If you see in the last couple of years how stable we have been to stay in the top four.
“It’s a big step we took as a team to be there and for the club, it’s important to get Champions League football.
“For young players as well to get that stage… in the last two years we got to the next stage to the next round so it’s not like we’ve had a good season then a bad one.”
Alderweireld says the club’s consistency should not be overlooked when measuring their achievements.
He added: “We’re stable, we’re up there and want to improve but don’t underestimate the things we’ve achieved up until now as well.
“It doesn’t mean that we’re unhappy or unsatisfied. We want to be first but we have to be realistic as well. We’ve seen where we’ve come from.
“We don’t make any excuses but with Wembley as well it’s been difficult, but we managed it quite well and we are looking forward to playing at White Hart Lane again.”