The Belgium international believes anything is possible for Spurs next year, but admits his side must find a way to be more clinical against the smaller teams in the division
The Belgian has backed the north London club to push on next season and believes, if the squad is strengthened during the summer transfer window, they can mount a title push.
"I'm never shy to say that I believe in everything," the Belgian midfielder told Sky Sports. "So if we start well next year, you never know.
Tottenham are 33/1 with Coral to win the Premier League next season
However, any title challenge will require Spurs to find a ruthlessness that evaded them in 2012-13, with Dembele and his team-mates forced to rue their profligacy against the weaker teams in the division.
"We dropped a lot of points against the bottom teams," Dembele continued.
"Against the good teams we can make the difference. So maybe we have to be aware next year as well, these are the games for us that are very difficult - the small games.
"That's the thing maybe we have to look out for. Of course, that's the sign of a strong side. That's something that comes with experience as well.
"If there is a bottom team here, maybe we are too relaxed and think, 'OK, we are going to win'.
"Maybe that's the reason [we missed out on the top four]. The thing is, we are close because against the top teams we are good. I think, 'They are not better than us'.
"But against the small teams, it's like, 'OK, the top teams would finish this'."