The Black Cats have won three of their last four games to take them from bottom of the table up to 14th and two points clear of the drop zone.
Poyet has turned things around at the Stadium of Light after a poor start to the season under Paolo Di Canio, including helping them reach the Capital One Cup final at Wembley next month.
Sunderland could unbelievably move into the top half of the Premier League table with a win at home to Hull today and Poyet expects their current form to continue as he now knows his players well.
“What is great now is I know the players,” Poyet said.
“When I first came here I did not know them.
“I did not want to say too much in the beginning because it would have sounded like an excuse.
“At that point, I had to make changes and just hope I got it right – that was not easy.”