Andre Villas-Boas' side currently sits a point behind its North London rival with two games remaining following Wednesday's draw against Chelsea, which leaves Champions League qualification in Arsenal's hands.
However, Adebayor, who plied his trade with the Gunners for three years, is adamant that the Gunners will drop points and admitted he no longer cares about the fortunes of his former club.
"My head, my concentration, my focus, my life belongs to Tottenham. Arsenal was a different life. Now, I prefer Tottenham and everything belongs to Tottenham. I don’t care what Arsenal do, what they achieve. That’s not my problem anymore," he told The Mirror. "If I can kill them, I will definitely kill them because we are in a game where you have to do your best for your team. And now I’m in Tottenham, I have to give everything to Tottenham.
"Of course, Arsenal can drop points. Why not? They have dropped points throughout the season and they can drop points again now."
Adebayor, who has scored four goals in 23 appearances for Tottenham this season, also emphasized the importance of retaining the belief that Spurs can qualify for the Champions League and not worrying about their rivals.
"We have two games more and if we talk more about Arsenal and Chelsea, that will kill us. We don’t have a choice, we have to beat Stoke and take six points from our last two games," he continued.
“I don’t see why we can’t finish in the top four this year. We just have to keep the belief alive. No matter what, we have to get into the Champions League and I am positive we will.”