The defender signed a new contract at Manchester United last month which will keep him at the club until at least 2023.
He told Goal: “I wouldn't go that far, there'd be only my mum and dad who would turn up."
Jones, often criticised by rival fans, also opened up on proving his critics wrong throughout his career.
He added: “Ever since I was at Blackburn, when you talk about getting pro contracts I was never the guy that was talked about as, 'This guy is going to be the best player, the next best thing'.
“I was always the guy who just managed to get one and went under the radar a bit, and the next minute I was playing in the first team and the lads who were tipped to be the next best thing are working in an office, and that's how it goes.
“I enjoy that, I enjoy the way I go about it. I feel like I'm improving, I've still got a lot to improve, a lot to learn, and I'm excited for the challenge."