The 45-year-old is the new favourite to replace Paolo Di Canio at the Stadium of Light after Roberto Di Matteo rejected an approach from the Wearside club
Goal reported on Tuesday that the 45-year-old, who was sacked by Brighton in June, is the new favourite to replace Di Canio at the Stadium of Light after Roberto Di Matteo had rejected an approach from the Premier League club.
"There's a chance, I'm waiting like the player when he's first named in the first team and does not know if he will play," Poyet told Sport890.
The Uruguayan also admitted he is "eager to have an opportunity like this".
Poyet conceded that he has been tracking Sunderland's progress to see if an opportunity arose as the club sit bottom of the Premier League having picked up one point from five games this term.
The former Chelsea and Tottenham midfielder revealed he contacted Di Matteo to ask whether he was keen on taking the vacancy.
"I analysed the teams who I thought would have problems early to know where my chance might be. It was a thought of mine, and among others, I was looking a lot at Sunderland," Poyet said.
“I called him [Di Matteo] and said 'Are you interested?’, he said ‘No’, I said ‘That's one less!'"