Villas-Boas had accused the Football League of putting his players' careers in danger with their scheduling of the Capital One Cup, but it was the low-key European clash against the Norwegian Group K minnows that claimed three injury victims on Thursday night.
Danny Rose pulled up with an ankle injury in the first half, Mousa Dembele had to be carried off on a stretcher after being kicked from behind and Younes Kaboul hobbled off five minutes from time with an adductor problem.
The Tottenham boss expects Kaboul and Dembele to be fit for Sunday's game at Cardiff, and although Rose needs a scan on his ankle, Villas-Boas expects the left-back's injury to be minor.
"Dembele should be okay," Villas-Boas said.
"He felt a lot of pain when he was brought down, but now he's steady.
"Younes felt muscle tightness in his adductor and we decided to take him off. He was struggling but he didn't rupture anything.
"We have to be a little bit more careful with Danny Rose. We hope it's not serious.
"We have to give him one night to see the reaction of his ankle. He is in doubt for Sunday but he should be okay."
Even though Tottenham's summer spending spree means Villas-Boas has ample backup, the idea that Kaboul, who missed nearly all of last season with a knee problem, and key player Dembele, could be fit again soon is good news for the Portuguese, who has two games coming up in five days.
With those fixtures in mind, Villas-Boas rang the changes against Tromso and his squad players responded well.
Jermain Defoe, who is yet to make a Premier League start, is now one goal away from moving up to fifth in Spurs' all-time top scorers' list after a well-taken brace tonight.
Lewis Holtby played a part in the build up to both of Defoe's goals and Erik Lamela also impressed on his full debut.
Defoe hopes he has put himself in Villas-Boas' thoughts for Sunday's trip to Wales.
The former West Ham striker told ITV4: ''When you get an opportunity you've got to take it - it's as simple as that.
"The performance was good tonight - we've won the game quite comfortably.
"It's a case of working hard for the team, to win the game. There's a good spirit there and the new lads have been brilliant.''
Roberto Soldado has made life hard for Defoe by scoring four goals in his opening five games.
Villas-Boas favours playing just one man up front so Defoe cannot expect to stroll back in to the side, but Villas-Boas conceded that the 30-year-old's display against the Norwegians was impressive.
"JD is doing well," Villas-Boas added.
"He and Soldado are competing and all of their performances have been excellent.
"There is not one single thing I can negative about the performances of Soldado and JD.
"At the moment we are playing with one striker up front and a number 10.
"We've scored 15 goals in seven games and conceded one, which are good numbers for us so we haven't yet seen a reason to change to 4-4-2.
"But that is definitely an option for the future."
Any fears that Tottenham could not perform without Gareth Bale have been put to bed with six wins from seven matches in all competitions.
Lamela showed great trickery on his start while the way that Christian Eriksen killed off the game with a superb chip at the end also delighted his new manager.
Former Spurs and Norway goalkeeper Erik Thorstvedt said on the pitch at half-time that Spurs had "Sold Elvis and bought the Beatles" by replacing Bale with seven new additions and the manager agrees with that assessment.
"That is very creative! It sounds good," Villas-Boas said with a smile.
Tromso did not have a shot on target all night and their manager Agnar Christensen admitted he was disappointed that his team did not get into the game more.
Christensen said: "We expected to have ball more.
"We knew Tottenham were a good team but we should have had the ball more."