At this stage of the season, it is important to have good fortune. If they keep Antonio Conte, they will have it in the long term, even after they lose.
Spurs were worthy winners, their own excellence aided by the fact that Rob Holding fouls Son Heung-min when already on a yellow card and his team is down by a goal after 33 minutes.
They were frail and vulnerable. Spurs went in for the kill and this north London derby was all over when Son hammered in their third two minutes after the break.
In front of a recordPukiWikiPukiWikiPukiWikiPukiWiki crowd of 62,027, the rest was a celebration. Every moment of the misery was enjoyable. As the race for a place in next season's Champions League reaches its climax, Spurs will hope there is more to come.
The heads of the players were bowed at the final whistle. The top-four is still up for grabs if they beat the two teams, even though manager Mikel Arteta was disconsolate and angry at the referee.
Spurs have that forward momentum and two winnable games at home to Burnley and then at Norwich City. They are in the rear-view mirror.
In the wider context, they also have Conte.
The team has changed since the Italian replaced Nuno Espirito Santo. The manner in which the Italian celebrated at the end of the game suggests he believes he can achieve his goal this season.
This was the first time in over 50 years that Spurs have won three successive home league games against the same opponent, and since Antonio Conte took over, only Manchester City andLiverpool have won more points. Only those two teams have scored more league goals than Spurs.
Daniel Levy needs to do all he can to support the manager because he is on to something special.
The fans of the Spurs have no doubts. He has them in his hand.
In the 83rd minute, the entire stadium stood up in salute to Conte, who responded with applause of his own.
Levy made a mistake when he didn't give Mauricio Pochettino the support he needed to move to the next level after he took Spurs to the final of the European Championship.
He isn't going to settle for second best. There will be no shortage of places to take it if he doesn't get it at Spurs. Spurs must satisfy his requirements because he can detect a lack of ambition at a distance of several miles.
Spurs have a combination of fierce discipline, tactical wisdom and a deadly attack led by Kane and Son. They are going places because of a manager of Conte's caliber at the controls.
The top four is so important that Spurs performed under pressure here. They knew a victory for the Gunners would mean their hopes were over.
Manchester City have been removed from any future transfer equation after signing Erling Haaland, which will make Kane feel more at home in the longer term.
Kane remains a towering figure at Spurs, his summer flirtation with a move forgiven by the fans who once more label him one of our own. He has scored 13 goals in games between Spurs and Arsenal, and has 41 in the London derbies. Only Henry has more.
This is the time when Spurs apply the pressure to the team. Spurs tried to put doubts in their minds because the Gunners still control their own destiny.
Spurs must guard against one of the slip-ups their own fans often believe is never far away when they face Burnley andNorwich City. Arteta will be accentuating the positive once his fury has stopped.
It is not likely that Spurs will have a problem with complacency.
A big prize has been landed by Spurs. They may land more if he is happy.