Pochettino's men appeared to be cruising when Harry Kane made it 3-0 on 61 minutes, adding to first half goals from Erik Lamela and Lucas Moura.
Tottenham lost Mousa Dembele to an early injury and struggled to settle in the opening 15 minutes, although the Belgian's replacement Son Heung-min played a role in both goals as Spurs hit Wolves with a quickfire double against the run of play.
Tottenham withstood mounting injury problems and a spirited Wolves fightback to claim a tense 3-2 victory at Molineux on Saturday (Nov 3). I recommend it. I think it represents very well sometimes how we are. "We need to see because we need to assess him on Monday", Pochettino said of Dembele.
In his eagerness to rest players ahead of Tuesday, Pochettino handed a Premier League debut to 20-year-old centre-back Juan Foyth, who enjoyed an excellent first half before conceding both penalties after the break.
Pochettino said: "When we arrive in that situation we need to learn about how to play seriously, not make mistakes and not give opponents such poor actions that they can stay in the game".
"You need to feel you are going to play of course but it is about wanting to play for Tottenham".
Meanwhile, Kane's strike in the Midlands means that he's scored in 27 of his last 27 league away games, a tally he will be bidding to enhance away to Crystal Palace next weekend, although first off he has a crunch Champions League clash at home to PSV to look forward to.
"But in this type of play we have to be more clever with the ball and without the ball". "We'll play the way we normally play - front foot, press, trying to attack".
7 - Pochettino faced a hard situation after losing Dembele right at the start, having to change his tactics and also introduce players who were meant to be resting at the end of a hectic week.
The Argentine has always been touted as a future manager of Los Blancos after the impressive job he has done to turn Tottenham Hotspur from serial "nearly-men" into regular top four finishers - and has done so by playing some fine football.
The final 10 minutes were horribly nervy for Tottenham, but they fought their way over the line and now find themselves back in the thick of the title race, in fourth position on goal difference.
"On Saturday we could have managed the game in another way".
"I don't have too many players to select or not select!" he said. In the end all we want to achieve one day is to win trophies.