The recent preliminary determination of masses and physical parameters for the ROSAT-discovered, weak T Tauri star RX J0529.4ϩ0041, a double-lined eclipsing binary, is a very important test for the pre-main-sequence (PMS) models. In fact, its secondary ( M , ) is still in the Hayashi phase, where the effective tem-0.95 ע 0.05 peratures (T eff ) are highly dependent on the modeling of the surface convective layers. We present new models for the PMS, including zero-order thermal modifications that are due to the magnetic field, generated by the dynamo that is due to the coupling between rotation and convection. This generally neglected physical input affects the location of the PMS: tracks that do not allow for the effect of the magnetic field on the convective T eff gradients provide an upper limit to the . The present models can match the H-R diagram location of the T eff secondary of RX J0529.4ϩ0041 and the low lithium depletion expected for stars of ∼1 M , . We show that this new feature in the computation is not equivalent to an artificial parametric change of the convection efficiency. We also point out that more complete models are needed, including a self-consistency model between the dynamo magnetic field and the evolution of stellar rotation.