The Black Cats remain rooted to the foot of the Premier League table on the back of another demoralising setback in north London.
Lee Cattermole fired the Wearsiders in front at White Hart Lane but things went downhill quickly from there, with Emmanuel Adebayor (two), Christian Eriksen, Harry Kane and Gylfi Sigurdsson netting for the hosts.
Sunderland do still hold games in hand on all of their relegation rivals, but they are now seven points from safety and in danger of slipping through the top-flight trapdoor.
Poyet concedes as much, telling Sky Sports after the Spurs hammering: "It's definitely more difficult.
"We need a miracle, probably. We need something very unique. If not, it's going to be practically impossible."
Poyet feels his Sunderland players are doing themselves few favours at present, with the basics required to be a competitive team having deserted them in their hour of need.
He added on another disjointed display: "It's very hard to take. It's not nice. I imagine how hard it is for the fans who have travelled. There is no place to hide. I am responsible, because I am in charge, and I will accept full responsibility.
"I think there are basic things in football that you need to do all the time, and when you are at the bottom you need to do them even more.
"I came in 1997 and one of the first things Dennis Wise, John Terry or somebody at Chelsea told me was, 'If you play wide then stop the cross, it is essential in football'. Well, we didn't.
"Then, of course, if you are away from home against Tottenham you need to keep the ball better and be braver on the ball. We were not. We couldn't pass it in the way we should.
"We don't have the players to play direct, so there is a situation that is difficult. We tried to adapt and search for solutions. For long periods with five at the back it looks good but, when we need to win the game, it is difficult for us.
"There are decisions that I need to make. There are things that we are doing sometimes that go against the books in football.
"When you are playing against a team with one up front, everyone will tell you that you should only play with two centre-halves because you don't need a third one.
"If we played at the moment with only two, we are too open and in a situation where we can't cover each other. We see it every day in training, so that is why we need to be a bit more solid."