Magnetic Eden clusters (Ausloos et al., Europhys. Lett. 24, 629 (1993)) wit
h ferromagnetic interaction between nearest-neighbor spins are grown in a c
onfined 2d-geometry with short range magnetic fields acting on the surfaces
. The change of the growing interface curvature driven by the field and the
temperature is identified as a non-equilibrium wetting transition and the
corresponding phase diagram is evaluated.