Sir Alex Ferguson's side are six points clear of fierce rivals and defending champions City but the defender knows there is no room for complacency where the title race is concerned.
"We're in a fantastic position and it's exactly where you want to be at this stage," Jones told United's official website.
"But last season was my first at United and I experienced something I've never experienced before. You learn that it's never, ever over.
"It's such a difficult league and, OK, it's the same old clichés, but we have to concentrate on the game in front of us and keep our feet on the ground, not getting carried away.
"The manager talks a lot about the Christmas period being one of the toughest spells of the Premier League season and that to be in a strong position at the turn of the year is vital.
"We've put ourselves in a good position but we want to make the most of it so we need to keep it going.
"We, like the fans, really want to win that trophy back."
United have home games against Newcastle and West Brom to come after this weekend's trip to Swansea, before they travel to Wigan on New Year's Day.