Ricky Sbragia's side are one of four teams who could be demoted to the Championship on Sunday, with the Black Cats in need of a result at home to Chelsea to guarantee their survival.
But Jones, who netted his 11th goal of the season in Monday night's 3-1 defeat to Portsmouth at Fratton Park, has revealed Sunday's game could be his last with the North East outfit should results conspire against them.
Tottenham Hotspur have long been linked with a move for the former Southampton striker, seeing one bid for the Trinidad & Tobago international rebuffed during the January transfer window.
And manager Harry Redknapp is expected to renew his interest in the forward during the close season, whether or not Sunderland survive the drop.
"I can't say what's going to happen. Things do happen in those situations," he said.
"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. Tottenham have been linked with me quite strongly.
"I can't say what is going on there."
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