Josh King kept up his fine form after scoring a hat-trick in City's 4-3 win against Tottenham Hotspur last time out, with a goal at LCFC Training Ground but a goal either side from Norwich City's La'Sean Sealey and Jaiden Owen resulted in defeat for the hosts.
Sealey opened the scoring after just five minutes in Leicestershire, but the Foxes' striker made it four in two games, with a instant response just two minutes later.
With little over 10 minutes left on the clock, Owen confirmed victory for the travelling side, who picked themselves off bottom spot, while the home side remain seventh in the standings with 17 points.
The Foxes now await a trip to Reading on Saturday afternoon (12pm GMT kick-off) when the two sides go head-to-head in Berkshire in the next round of league games.
The details
City: French; Aluko, Amartey, McAlinney, Joseph; Thomas (Dyke 46'), Neale, Ononaye, Otchere (Toure 77'); Donnelly (Evans 73'), King.
Subs not used: Diallo, Bausor.
Goal: King 7'.