The young Blues had a strong first half in the East Midlands rain, and came close a couple of times before Conor Grant’s opener 38 minutes in.
The visitors looked to have doubled their advantage shortly after the restart, but Sam Byrne’s effort was voided by an offside flag.
Leicester had chances to even things up themselves, hitting the post and firing just wide of Mateusz Hewelt’s goal on a number of occasions.
And they finally got their reward after Callum Elder rifled the ball home with a little under ten minutes remaining.
There were plenty of positives that David Unsworth’s men can take from the game. Next up: Tottenham Hotspur in the Premier League International Cup.