We have obtained linear polarization measurements of the Large Magellanic C
loud B[e] supergiant S 111 using optical imaging polarimetry. The intrinsic
polarization found is consistent with the presence of an axisymmetric circ
umstellar envelope. We have additionally estimated the electron density for
S 111 using data from the literature and revisited the correlation between
polarization and envelope parameters of the B[e] supergiant stars using mo
re recent IR calibration color data. The data suggest that the polarization
can be indeed explained by electron scattering. We have used Monte Carlo c
odes to model the continuum polarization of the Magellanic B[e] supergiants
. The results indicate that the electron density distribution in their enve
lopes is closer to a homogeneous distribution rather than an r(-2) dependen
ce. At the same time, the data are best fitted by a spherical distribution
with density contrast than a cylindrical distribution. The data and the mod
el results support the idea of the presence of an equatorial disk and of th
e two-component wind model for the envelopes of the B[e] supergiants. Spect
ropolarimetry would help further our knowledge of these envelopes.