Sue- (末手掻) is the late phase of the school, from the Ōei era through the period (with a thin tail of name-bearers into the early period). The term 末手掻 is used directly in to set this generation apart from the classical Ko- of the founder Kanenaga. Its representative smiths are Kanezane (包眞), Kanetoshi (包俊 / 包利), Kaneyoshi (包吉), and Kaneyuki (包行), names that recur across several generations as the workshop continued to supply blades through the fifteenth and sixteenth centuries.
The Sue- idiom is a tightening and quieting of the classical Yamato manner. The becomes a closely-forged mixed with prominent that frequently takes on a whitish () cast — a hallmark of the late phase — while the narrows to a -based that frays into and , with a . The hiogi (檜垣) file-mark on the is a recurring diagnostic. Production shifts toward and in standard forms alongside some , and the observes that the work shows comparatively little individual character, faithfully preserving the traditional house style rather than the bold personal expression of the founders. The phase represents the orthodox Yamato tradition carried, with conservative consistency, to the close of the age.