  It is possible that at low temperatures and large density there exists a
confining matter with restored chiral symmetry, just after the dense nuclear
matter with broken chiral symmetry. Such a phase has sofar been studied within
a confining and chirally symmetric model assuming a rigid quark Fermi surface.
In the confining quarkyonic matter, however, near the Fermi surface quarks
group into color-singlet baryons. Interaction between quarks leads to a
diffusion of the quark Fermi surface. Here we study effects of such diffusion
and verify that it does not destroy a possible existence of a confining but
chirally symmetric matter at low temperatures.
