The Black Cats are just above the drop zone with one Premier League game left to play.
Tottenham tried to sign Jones in the January transfer window, but failed with their bid.
“I can’t say what’s going to happen,” conceded Jones. “Things do happen in those situations.
“I’ve committed myself to the club. If we stay up, I am definitely going to be here.
“If we go down I don’t know what is going to happen. Totttenham have been linked with me quite strongly.
“I can’t say what is going on there.”
