The model that considers the thermoelastic effect of heat conduction medium with three phase lags was proposed. This work introduces the modified bioheat transfer equation based on the three-phase-lag model and uses it to study the thermal behavior in living tissue. Due to thermoelastic effect, the governing equation of the problem involves the high-order time derivative of temperature. A hybrid numerical scheme based on the Laplace transform is proposed to solve the present problem. The influence of thermoelastic parameters on the behavior of heat transfer in tissue has been investigated.