A one-dimensional quasi-equilibrium MHD code has been used to study the effect of heat transport in belt-pinch-like reversed-field configurations compressed by an imploding cylindrical conducting liner. The code incorporates classical and anomalous transport coefficients, including drift ion cyclotron and lower hybrid instabilities with fluctuation amplitudes limited by shear and finite-beta stabilization. For a reactor-size imploding-liner configuration, heat conduction produces flat-topped temperature profiles and peaked densities. Scaling the reactor size down by a factor of five leads to a considerable increase of anomalous heat losses. A high-field, low-density buffer region near the wall is effective as a heat insulator, provided the field is sufficiently sheared there.