  We present an unfolded off-shell formulation for free massless higher-spin
fields in 4d Minkowski space in terms of spinorial variables. This system
arises from the on-shell one by the addition of external higher-spin currents,
for which we find an unfolded description. Also we show that this off-shell
system can be interpreted as Schwinger-Dyson equations and restore two-point
functions of higher-spin fields this way.
