However, against Watford Kane ran the flanks and frequently dropped deep to pick up possession.
The Watford manager was responding to questions about his own position after the fifth defeat in seven games for his side, who crumbled badly against Spurs in a 4-1 home defeat.
This ploy also allowed Kane to turn provider, with his link-up play with Alli particularly impressive.
Spurs next face a big test of their Premier League title credentials when league leaders Chelsea arrive at White Hart Lane on Wednesday evening.
"Last season you weren't quite sure going to an away ground, but now you're very confident that any of the top six, wherever they go, there's a good chance they are going to get the three points".
Mauricio Pochettino's side have won four of their last five league fixtures, and would leapfrog Manchester City into the Champions League spots with a victory.
Pochettino said he was "very pleased, very elated with the performance".
Watford hassled and harried but they looked exhausted after half an hour, with Spurs finally making their pressure pay in the form of three goals in 14 minutes.
"It will be a very tough game and a great opportunity for us to try to stop them and try to reduce the gap".
Watford head coach Walter Mazzarri called the thrashing his "lowest moment" in charge, but he pointed to injuries that ruled out nine players.
This was Kane's 100th Premier League appearance and he was bossing it.
The game experienced a expected lull during the second half, with substitutions puncturing the flow of the game before Son fired over from close range.
He said: "Harry Kane was very good".
The Italian said: "But I'm the first one to say before we had all the injuries and all the players missing we were doing something extraordinary".
"I want everyone to notice this is a period we don't have these players - and it is normal when we don't have players who can influence the result".
The Hornets have conceded 12 more goals this season (30) than they had after 18 Premier League games last season (18).
"The club knows what to do and we will try to do it as soon as possible".