Spurs currently occupy fourth spot in the Premier League table, ahead of fifth-place Newcastle only on goal difference, and are two points ahead of Chelsea in sixth.
The North London side has five games remaining in the season, starting at QPR on Saturday, and the striker - on loan from Manchester City - has urged his Spurs teammates to believe that they can claim the last Champions League spot.
"The most important thing now from QPR until Fulham at the end of the season is to finish in the top four," stated Adebayor. "We have to believe in ourselves that we can do it, and we will do it."
After a good first-half of the season, Champions League qualification looked inevitable for Spurs. However, a top-four finish looks, at this point, far from certain with Newcastle and Chelsea hot on their tail.
Tottenham ended January in third with a seven point cushion on fourth place. But a run of only two wins in 10 games saw Harry Redknapp's side drop to fourth, five points behind fierce-rivals Arsenal.
"We are going through a difficult moment but the quality is still there, as you could see in the first half against Chelsea," added the 28-year-old.
"The life of a footballer is about good moments and difficult moments and we're going through a difficult moment now. We have to show character, personality and fight for the team and the fans."
Spurs take a relatively short trip to QPR on Saturday, a game that Adebayor believes could be the catalyst for Tottenham to end their current slump should they win.
"We have great players and we know what it takes to get out of a difficult moment and that's what we intend to do against QPR. It won't be easy, but we have that belief.
"At the beginning of the season our target was to finish in the top four and we are in a good position. We have to keep going and fight to the end of the season."