The potential of the gammae mode of a linear e(+)e(-) collider to probe the
WW gamma vertex is investigated through the W boson production angular dis
tribution from the process gammae --> W nu. Considering the longitudinal an
d transverse polarization states of the W and incoming polarized beams we f
ind the 95% C.L. limits of -0.0003 <<Delta>kappa <0.0003, -0.0006<lambda <0
.0006, with an integrated luminosity of 500 fb(-1), <root>s = 1 TeV and wit
hout any systematic uncertainty. It is shown that the polarization can impr
ove the sensitivity to Delta kappa by a factor of 1.3 and to lambda by fact
ors of 2.8-10 depending on the energy.