The 20-year-old, who can play at right-back or centre-back, has made 14 senior appearances for the Foxes this season.
But Moore, who spent time on loan at Bradford in 2011, will be sent out again to the tier below to gain more regular first-team experience.
The youngster, capped once at England Under-21 level, was linked with several Premier League clubs in the summer, including Manchester United.
Brentford will hope he can boost their promotion push in League One this season.


 





