The versatile 21-year-old says he wants to make himself a more complete player by taking more opportunities after missing two good chances against Arsenal on Sunday
The 21-year-old only has two goals in his entire career, both of which came within four days of each other last season. He scored the winner for the Red Devils against Aston Villa in December 2011 before grabbing a late consolation against Basel in the Champions League.
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"The first one was easier, I think I should have put that one away," he told reporters.
"The second chance was a bit more difficult. If it had been in the air for a couple more seconds, I might have got on the end of it with a cleaner connection.
"Scoring is probably something I need to work on. Hopefully I’ll get one before the end of the season."
The former Blackburn player says United were disappointed to leave north London with a point because it means they can no longer break Chelsea's total points record in the Premier League.
"In the first half, I would have said a point was a good result," added Jones.
"But having seen what we put on in the second half, we are disappointed not to have come away with all three points."
Jones' eyes are now set on lifting the Premier League trophy in front of United's fans on May 12 after their encounter with Swansea.
"Winning the league is obviously something you dream of as a kid. It's going to be an amazing day when we lift the trophy," he added.