The 32-year-old, who's contract expires at the end of the season, has been linked with a move away from the Magpies after nearly a 14 year stay.
"I never say never in this game because I don't know what is going to happen next season, but it has been a fantastic 14 years for me here and I've loved every minute," Ameobi said.
Toon boss Alan Pardew added: "That's something me and Shola and the Board will look at.
"He's been an absolutely magnificent servant for this football club."
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