The Black Cats booked their place in the FA Cup fourth round with a 3-1 home victory over League One Carlisle on Sunday afternoon, but immediately turned their thoughts to Tuesday night's Capital One Cup semi-final first leg clash with Manchester United.
However, Poyet insists his players will relish another tough game more than the training they would otherwise be doing.
He said: "When I was a player, I wanted to play. I hated to train and the fitness coach making me run and run. I wanted to play games.
"If it was three days [between games], it would be perfection; if it's two days it's a little bit risky.
"Here we gave a rest to a few players who will be fresh on Tuesday and will have no excuses to perform against Manchester United."