The young Foxes actually took the lead in Seagrave; Jake Fletcher pouncing just under a quarter of an hour in to hand the side coached by Adam Barradell an early advantage.
It remained that way until 10 minutes into the second half, when Rio Mundle levelled things up. Norwich got themselves in front soon after, Reuben Cooper the man to find the net for the Canaries this time.
With Leicester pushing bodies forward in an attempt to find a late equaliser, the away side found a stoppage-time third through Jake Glossop.
It sees City slip to seventh in the table, remaining on 35 points from 25 matches, with a trip to Southampton coming up at Staplewood Training Ground next Friday (1pm BST kick-off).
City: Stretton, Jacklin, W. Lawrence, Sutherington, Diallo (c), Manyumba, Anugo (Colangelo-Allen 65'), Owusu, de Lisle, Aideed (Dignum 88'), Fletcher (Szembell 84').
Subs not used: Hames, Boothe.
Goal: Fletcher 14'.