It depends on which disc brake kit you get and from what supplier. Some use a 12" rotor which will not clear the inside of a stock wheel. The 11" rotor kit should clear but I would check with the supplier. If they can't tell you they don't know anything about their product and I would stay away from them.
Fred


1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine