Spurs made an impressive start to the 2014/15 campaign under the guidance of new boss Mauricio Pochettino, winning their opening four fixtures in all competitions.
They were, however, carved apart by Liverpool during a 3-0 defeat at White Hart Lane prior to the international break, breaking their momentum and rocking confidence.
Adebayor is convinced, though, that a positive response will be offered to that setback and that Tottenham will be among those pushing for UEFA Champions League qualification come the end of the season.
The Togolese striker told the Daily Mirror: "We won against QPR at home and everybody was saying we were one of the best teams in the league. People were touting us as title contenders.
"But now we have lost against Liverpool, everyone is saying: 'Oh, they are not ready yet! They can't compete with the big clubs'. But we'll be back. There's a long way to go.
"To be fair to Liverpool they played some great stuff. I cannot say that they are unstoppable but they are one of the biggest teams in this league.
"People talk about the younger players but Steven Gerrard, with his passes and everything from midfield and the way that he sees the game, is still very important for them.
"But even they lost to Manchester City which shows you that anything can happen in this league. When you look at the top four it is still wide open and we want to be part of it."
Adebayor, as an experienced figure within the ranks, will have an important role to play if Spurs are to position themselves among the frontrunners.
He will, however, be ably supported by the likes of Harry Kane, with the England U21 international delighted to have seen the transfer deadline pass without further attacking arrivals - with Pochettino placing his faith in those already on his books.
Kane said: "I spent all deadline night say in front of the telly. I don't think I was the only player to do that.
"But believe it or not I was fairly calm. There was a lot of talk of us signing a new striker and a lot of names were linked with the club.
"I was quite confident the manager was happy with what he had. So when the window closed it wasn't exactly a feeling of relief, it was more pride.
"Pride in the sense that the manager has shown faith in me. His decision not to bring in another striker shows he trusts me.
"That is what you want as a player, especially a young one coming through. I have now just got to concentrate on my football and do what is necessary to establish myself in the starting XI."