Poyet insists he would take Barclays Premier League survival over cup glory despite seeing his team edge closer to a second big day at Wembley.
Reminded that Bob Stokoe, who led the Black Cats to FA Cup glory in 1973, is commemorated by a statue at the Stadium of Light, the 46-year-old said with a smile: "Me, I would prefer to stay in the Premier League.
"Apparently to be more famous, it's better to win the cup. I don't want any more people knowing me, I think they know me enough, so I would prefer to stay in the Premier League.
"I am not looking for a statue, that's for sure.
"It's a personal feeling. I can't answer for anybody else, it's me. I would be devastated if we go down, so it's me.
"Now at the same time, I have to say if we win the cup, I am going to be jumping up and down and I am going to be wanting to come back here and celebrate with the fans, that's true.
"We will see, we will see what happens."
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