City travelled to Middlesex Road in Aylestone to face the league leaders and ended up being out fought and out-battled.
Leicester led 3-0 at the break through Jeff Schlupp, Jorrin John and Tom Hopper and added two more in the second half thanks to goals from Adi Yusseff and Joseph Dadoo.
Greg Rioch's team had possession during the game but failing to convert that into chances meant that the Sky Blues were never going to get anything from the game.