The Black Cats currently find themselves at the foot of the table after eight games with a tally of just one point.
Poyet took charge of his first game since succeeding Paolo Di Canio on Saturday, but was unable to prevent his side from suffering a humbling 4-0 defeat at the hands of Swansea.
The North East club held firm until the second half, but Phil Bardsley’s 57th minute own goal opened the floodgates.
The loss leaves Sunderland with the joint worst ever start to a Premier League campaign, which could get even poorer with a weekend derby with Newcastle on the horizon.
In a bit to stop the rot, Poyet has urged his players to snap out of their rut or risk slipping out of the top tier.
“There is no time, you cannot go and improve a little bit game by game physically and mentally. You need to improve now,” Poyet told The Express.
“It’s about winning football games – and it needs to be now. We have a saying in Spain, ‘Yesterday and not even tomorrow. Now.’ We cannot lose many more times.
“Newcastle is a great opportunity. Can we do it? I believe.
“From my side it’s great to have a long week. We have Monday to Saturday with the game on the Sunday and that gives me enough time on the pitch with the players. Every day. We are going to work so hard this week that it is possible. It all depends on us.
“I knew what the task was when I took the job and what we need to work on. But I don’t know how quickly it will work.
“I can’t say to people it will work in five days or a month. I just hope it works really quickly.”
The defeat was the club’s third on the bounce and leaves them six points adrift of safety.
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