The Clarets were put in their place by Jose Mourinho's team, who ran away 4-0 winners on Sunday.
Dyche was not pleased with the result, but felt Spurs are too good a side to remain in the doldrums for too long.
"I was actually worried about the game in the sense that when teams like this are having a tough spell, they rarely do that for too long," said Burnley boss Dyche, per the club website.
"They are a quality side and even during a questionable run, they turn up and did today.
"I didn't want to say that before because you don't want to tempt fate, but I did have that feeling that if they got a foothold early on, they can hurt you, and they did.
"We gave them the first goal, which was really awful from our point of view, although it's rare we do that.
"That immediately calms them down because they could have been looking at today and thinking we were an awkward side who are hard to play against. Their manager referenced that, but when you give them a start like that, it's very difficult."