Two London rivals are set to set lock horns again on Saturday with a Premier League top-four standing very much on the line.
Spurs hold a five-point advantage over their local foes at present, but could see that whittled down at Stamford Bridge.
Wise believes Mauricio Pochettino’s side could fold under pressure, with Chelsea a more established outfit when it comes to challenging for Europe and top prizes.
The former Blues captain told Standard Sport: “I think Spurs have built well, but I don’t think they’re near Chelsea as a club at the moment.
“Where do I class Spurs? They are batting above their weight. They haven’t won anything and haven’t spent a fortune on personnel. They have kept the nucleus of the squad and, from the outside, it looks like resources have been saved for the stadium.
“But as a player you want to win things - at Chelsea you do that. They may miss out one year but they’re back the next.”
Wise added on Spurs, a club he sees at a “crossroads” in their ongoing efforts to end a 10-year wait for silverware: “It is more important for Spurs to push Chelsea out of the Champions League.
“Chelsea will always be there competing for honours. But for Spurs they’re at more of a crossroads of which way they’re going to go.
“That’s the problem they have. There is more pressure on them. They always seem to get themselves in a nice spot but fall short.”
There is still every chance that Chelsea could end the 2017-18 campaign empty-handed, with the Blues also out of Europe and relying on the FA Cup to salvage their season.
Wise, however, remains optimistic when it comes to the reigning Premier League champions adding: “I am not concerned about Chelsea.
“They have an owner in Roman Abramovich who is willing to put money into the club. He has shown that he can bring players in.
“Spurs have done a really good job, the way chairman Daniel Levy has built the new stadium and kept the team together.
“But they really do need to be consistent and stay in the Champions League spots constantly. If it doesn’t happen to Chelsea this season, it’s not a major problem. That’s the difference.”