The Spain international has previously been linked with a host of top-flight clubs including Chelsea, Arsenal and Tottenham, while Everton were thought to have shown interest in January.
Reports suggest financially-stricken Sevilla could look to offload him as they seek to lower their wage bill.
Negredo, who joined Sevilla from Almeria in 2009, claims the club received offers for him in the winter transfer window but says it was not the right time to leave.
The 27-year-old, contracted at the Primera Liga side until 2016, hopes to join the Premier League when the moment is right.
"I have always said it, I have never hidden it," he told Estadio Deportivo. "It is a league that I like.
"I do not know if it will be soon, or maybe further down the road, or tomorrow, but I will play there.
"The president (Jose Maria del Nido) received some offers, but he did not accept them. Nobody said anything directly to me, and it was not the right moment to leave.
"I do not know what will happen in the future. It depends on what the club wants and what it needs."