The Old Trafford outfit were beaten at home by Southampton on Sunday, but the England international is staying positive.
Manchester United’s good recent form came to an end on Sunday, with high-flying Southampton picking up a 1-0 win at Old Trafford.
Substitute Dusan Tadic’s second-half goal was enough to move the Saints above Louis van Gaal’s side in the Premier League table.
The former Blackburn Rovers defender said that the defeat to Southampton did not mean that his side could not catch the frontrunners.
“No. You have seen teams dropping points,” The Daily Mail report Jones as saying.
“I think Chelsea were clear of City and then two games within the space of a week and they are back in it. That's how football changes.
“It's up and down. You just never know who is going to drop points.
“That gives us hope. There's always hope, but we have to worry about ourselves really rather than anyone else.”
Jones stated that Van Gaal had instilled a belief in the United changing room and the side were equipped to close the gap at the top.
“Yes. There's a lot of confidence still in the dressing room,” the England international continued.
“We have lost the game, the lads are disappointed but you have to move on quickly. You can't dwell on these results. We have done okay over Christmas.
“We would have liked to have picked up two more points against Stoke and Tottenham but now we need to get a bit of a run. Losing is always a little setback but it's nothing more than that.
“We have to look forward to the next game and make sure we get three points. We have been on a decent run and we need to go on a new one.”
Jones has suffered from injury concerns this season but has still managed to feature in ten Premier League games for United.
The England man started in a back three alongside Daley Blind and Chris Smalling in the defeat to Southampton.