A wireless station (A) is operated in a power-save mode, in which the station is alternately in power-ON and power-OFF states to reduce power consumption. Wireless station (A) computes at least some future time instances at which another wireless station (B) is expected to start transmitting control messages. Wireless station (A) is ensured to be in the power-ON state in corresponding time intervals encompassing durations of at least some of such future transmissions of control messages by wireless station (B), and is thereby enabled to receive the control messages. In an embodiment, the control messages correspond to group key message updates in which values of a decryption key are transmitted, wireless station (A) being a wireless client, wireless station (B) being an access point, with wireless stations (A) and (B) operating in a wireless network consistent with IEEE 802.11 specifications, and communication between wireless stations (A) and (B) being encrypted.