The Spanish international striker is reported to have emerged as a target for West Ham United in recent weeks but he appears unmoved by the prospect.
Negredo, who was linked with Everton in January, is now believed to covet a team that is in the Champions League, should he leave Sevilla this summer.
"We are calm and at the end of the season, we will look at things but the choice lies with Sevilla," his agent Juanma Lopez told Sky Sports.
Lopez added to Marca: "He would only accept an offer from a club that is in the Champions League."
Sevilla have said they want the 27-year-old's release clause paying which is believed to be just below £20million.
Negredo enjoyed another hugely successful season in La Liga for Sevilla, scoring 20 goals to record his seventh season in succession that he has hit double figures.