Arsenal's 1-0 loss against Manchester City – their first defeat since succumbing 2-1 to Spurs in October - meant they lost ground in the race for a top four spot following Tottenham’s 1-0 win over Sunderland.
With Harry Redknapp’s men enjoying a game in hand and now without any extra European games after being dumped out of the Europa League, it is the white half of north London rather than red that is being touted as title contenders this season.
Both teams have been in excellent form in recent months, with Spurs bettering Arsenal’s unbeaten run in the Premier League by three games as they went 11 matches without tasting defeat to move into third spot, ahead of the Gunners in fifth.
Despite the narrow defeat against City, Szczesny believes Arsenal will assert their superiority before the end of the season over their fierce rivals.
"Getting above Tottenham is the main target," Szczesny told Arsenal.com. "We don’t want to finish below them no matter what.
"That’s my personal ambition because I am one of the fans and so it means a lot to me to finish above them. I am confident we will do so.
"Tottenham will lose eventually. They have been in good form recently and you have to hand it to them but I am confident we are a better side than them and we will finish above them. Time will tell if they can handle the pressure but they look good at the moment."
The defeat against City at the Etihad Stadium on Sunday may have forced boss Arsene Wenger to conceded that Arsenal are out of the title race already this season, but Szczesny believes they can get their season back on track with successive wins over Aston Villa, Wolves, QPR and Fulham in the next 12 days.
"I am positive we can do the same over again and hopefully make this run even longer than last time, climb up the table and make sure we finish as high as we can," he added.
"If you get a couple of good results and play well, the confidence comes back. The performances have shown that we are much more confident and certainly Sunday's game will not take the confidence away from us.
"I think the tough times that we have gone through made us stronger in the end. We made some quality signings after the poor start to the season and that brought the spirit back to the dressing room.
"The atmosphere in the dressing room is very good at the moment so that made us stronger and I believe we can go very far in all competitions."