The Uruguayan was delighted his side beat Newcastle to claim Tyne-Wear bragging rights and finally win in the league, but insists the club must use the result as a springboard
In his second game in charge, Poyet's Black Cats took the lead via Steven Fletcher before Mathieu Debuchy equalised midway through the second half, but Fabio Borini lashed in a winner to give the hosts a 2-1 victory.
|10/1||Sunderland are 10/1 with bet365 to beat Hull City 1-0|
"We beat our biggest rivals," Poyet told reporters after the game. "Now we need to keep going, now we need to start passing the ball better, now we need to keep believing.
"From now on there are no excuses. We needed a lift, well there is no bigger lift than this one.
"I'm very happy for our players and I'm absolutely delighted for our fans."
Meanwhile, Alan Pardew was despondent following the defeat and felt that his team were better than Sunderland overall despite having nothing to show for their efforts at the Stadium of Light.
"We had two or three good chances, I thought, at 1-1, and if we'd got that second goal the game would have been over, because they would have been dead," he said.
"The only chance in the second half and he [Borini] smashes it in. It was a real tough one to take.
"I thought we played well from about 20 minutes in - right up until the second goal I was fairly pleased.
"I feel really disappointed for our fans and for the team. I didn't they deserved that. They just switched off and a little bit of unprofessionalism cost us."