The 26-year-old and his club have so far failed to agree an extension to his present deal, despite the offer being on the table since last year.
Simpson is being chased by QPR, West Ham and Fulham, who all want to complete a deal for the defender this month.
However, the Salford-born full back now seems intent on seeing out his contract at St James’ Park and will assess all his options in the summer.
Simpson’s relationship with pop star girlfriend Tulisa Contostavlos has increased speculation that he will relocate to London to be closer to her.
The Newcastle defender excelled for the club last seaso, making 40 appearances as they qualified for the Europa League.
But the club’s strict wage structure means they are reluctant to offer Simpson, who currently earns around £18,000-a-week, the £30,000 he desires.