In Master-driven TDD based Bluetooth, active Slaves should always listen in the Master-Slave slots because a Slave can transmit packets only after the master polls the Slave. This paper proposes an efficient power management policy to minimize the receiving power which is unnecessarily wasted in Bluetooth. The proposed policy is not controlled by LM (Link manager) protocol, does not need the information about Master-Slave buffers, and guarantees that Slave is in a receive state at Master's polling time. Therefore, there is no degradation of throughput by the proposed policy. The mathematical analysis is carried out in order to investigate our proposed policy. The numerical results show that the proposed policy significantly reduces power consumption over the nave Bluetooth specification.