Brady, who netted the equaliser in last weekend’s 1-1 draw with Chelsea, joined the Lancashire outfit in January from Norwich and is cup-tied.
Hendrick is unavailable as he serves the second match of a three-game suspension following his sending off in the loss to Watford.
Steven Defour remains out as he continues to nurse a hamstring injury, although Sean Dyche will be able to call on Johann Berg Gudmundsson.
Jon Flanagan, James Tarkowski, Tendayi Darikwa, Scott Arfield and Sam Vokes could all be recalled as Dyche looks to rotate.
Burnley last week