The winger was caught by Andriy Shevchenko as the Three Lions beat the co-hosts 1-0 on Tuesday to advance to the quarter-finals as winners of Group D.
He looked in obvious discomfort at the end of the match and manager Roy Hodgson is now waiting to learn if he will be fit to face the Azzurri.
It remains to be seen if Young will train at England's Hutnik base on Thursday, but the 26-year-old is said to be 'hopeful' of making a full recovery for Sunday's fixture in Kiev.
Hodgson had to contend with a number of injuries before the start of the tournament as Frank Lampard, Gareth Barry, Gary Cahill and John Ruddy all had to withdraw from the squad.
But he has had better luck since travelling to Poland and has only made changes for tactical reasons during England's first three matches.
Wayne Rooney came in to provide attacking support for Danny Welbeck against Ukraine after serving a two-match suspension, with Young on the left wing.
Alex Oxlade-Chamberlain started on the left of midfield in the draw with France and would be an option for Hodgson if Young was ruled out.
Theo Walcott will also be hoping to start after coming off the substitutes' bench in all three group games and making an impressive impact in the victory over Sweden.
adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.