The Red Devils are currently five points clear of local rivals Manchester City with four games to play.
When asked what it would mean to get his hands on the trophy, Young told United's official website: "It would mean everything. There have been ups and downs during the season, but we've got ourselves into a great position and we've got to make sure we finish the job now.
"It's exciting to be involved, especially at this stage of the season. We've never been out of contention but to be in the position we're in now is fantastic."
United next host Everton at Old Trafford in the league on Sunday.