  The gradient flow[1-5] gives rise to a versatile method to construct
renormalized composite operators in a regularization-independent manner. By
adopting this method, the authors of~Refs.[6-9] obtained the expression of
Noether currents on the lattice in the cases where the associated symmetries
are broken by lattice regularization. We apply the same method to the Noether
current associated with supersymmetry, i.e., the supercurrent. We consider the
4D $\mathcal{N}=1$ super Yang--Mills theory and calculate the renormalized
supercurrent in the one-loop level in the Wess--Zumino gauge. We then
re-express this supercurrent in terms of the flowed gauge and flowed gaugino
fields[10].
