Magnetic hyperthermia has been an oncological technique. To know the heat transport occurring in biological tissues during hyperthermia treatment is essential for its improvement. The biological tissue can be treated as a fluid saturated porous medium. Therefore, this work applies the generalized dual-phase-lag model of bioheat transfer, which was derived from a two-temperature model, to describe the behavior of bioheat transfer in the tumor and its surrounding healthy tissue with transient blood temperature during hyperthermia treatment. A hybrid numerical scheme based on the Laplace transform is proposed to solve the present problem. The effect of porosity, coupling factor, metabolic heat generation, time dependent blood temperature, and size of tumor on the thermal response is investigated. The suitable power dissipation is also estimated for a sustained temperature which could ablate the tumor without damaging surrounding healthy tissues. In order to show the effect of blood temperature, the comparison between the results with the transient blood temperature and those with the constant blood temperature is done. (C) 2018 Elsevier Ltd. All rights reserved.