Simpson does not believe he will be offered a new contract beyond the 18 months that is left of his current deal with the Magpies.
Simpson came close to joining Aston Villa in the summer.
Simpson said: “There is a chance in the future that I will be moving, whether in the transfer window or in the summer.
“I have 18 months left on my contract and I don’t think it will go past that.”
Newcastle are reportedly looking for around £3million for the right-back.