The England international signed from Blackburn Rovers in the summer of 2011 and has since gone on to make 47 appearances.
Jones saw United lose out on the Premier League title of the final day of the 2011/12 season to bitter rivals Manchester City with almost the last kick of the campaign, but has since seen United take a six-point lead over City ahead of the busy Christmas fixture list.
On the final day drama, Jones told his club's official website: "It was crazy to be part of it. You went from high to low in the space of about 10 seconds. We thought we'd done it and then we hadn't.
"But I think we've bounced back from that, got over it and started the season really well - albeit with a few hiccups here and there - and now we're in a strong position. The manager just told us: 'Always remember this experience and don't let it happen again'."
The England international missed the start of this season with a back problem followed by knee surgery after a pre-season training setback.
He admitted: "I was tearing my hair out, it was so frustrating. I just wanted to be out there playing, but I couldn't.
"I'm absolutely delighted to be back involved again and hopefully I can force my way back into the team and get a run of games under my belt."
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