  A peculiar source in the Galactic center known as the Dusty S-cluster Object
(DSO/G2) moves on a highly eccentric orbit around the supermassive black hole
with the pericenter passage in the spring of 2014. Its nature has been
uncertain mainly because of the lack of any information about its intrinsic
geometry. For the first time, we use near-infrared polarimetric imaging data to
obtain constraints about the geometrical properties of the DSO. We find out
that DSO is an intrinsically polarized source, based on the significance
analysis of polarization parameters, with the degree of the polarization of
$\sim 30\%$ and an alternating polarization angle as it approaches the position
of Sgr A*. Since the DSO exhibits a near-infrared excess of $K_{\rm s}-L'>3$
and remains rather compact in emission-line maps, its main characteristics may
be explained with the model of a pre-main-sequence star embedded in a
non-spherical dusty envelope.
