  Recently, a universal formula for the Nicolai map in terms of a coupling flow
functional differential operator was found. We present the full perturbative
expansion of this operator in Yang-Mills theories where supersymmetry is
realized off-shell. Given this expansion, we develop a straightforward method
to compute the explicit Nicolai map to any order in the gauge coupling. Our
work extends the previously known construction method from the Landau gauge to
arbitrary gauges and from the gauge hypersurface to the full gauge-field
configuration space. As an example, we present the map in the axial gauge to
the second order.
