The 21-year-old has yet to register a goal for the champions this season after scoring two in 2011-2012, and insists it is the area of his game he is looking to improve
The 21-year-old has yet to find the net for the new Premier League champions this season, despite impressing in a midfield role of late.
And Jones, who scored twice for United in the league last season, admits he should have scored his first goal of the season at the Emirates.
Jones told MUTV: "The first one [header] was easier, I think I should have put that one away.
"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."
The England international never registered a goal in two years with former club Blackburn, and admits he wants to improve his prowess in the final third of the pitch.
"Scoring goals is probably something I need to work on. Hopefully I can get one before the end of the season,” he added.