A dynamic model of heat and moisture transfer with sorption and condensation in porous clothing assemblies is presented in this paper. The model considers for the first time the effect of water content in the porous fibrous batting on the effective thermal conductivity as well as radiative heat transfer, which is a very important mode of heat transfer when there is a great difference in the boundary temperatures. The distributions of temperature, moisture concentration and liquid water content in the porous media for different material parameters and boundary conditions were numerically computed and compared. The presented numerical results showed that the condensation zone expends towards its boundaries with time.