A model of a spot in the cosmic microwave background (CMB) anisotropy
produced by a scalar perturbation with Gaussian spectrum is considered
. The level of polarization in the spot is calculated for various para
meters of the perturbation and its orientation with respect to the obs
erver. The CMB polarization near the spot center is higher than the sk
y average on the same angular scale, as many times as the maximum of t
he delta T/T fluctuations is higher than the sky average. The accuracy
of modern instrumentation for observations gives us hope that a speci
ally-designed observational program can detect polarization of the CMB
perturbation in spots of size less than or similar to 1 degrees.