Methods and apparatus relating to communication link and network connectivity management in low power mode are described. In one embodiment, logic manages one or more external communication network links (also referred as “links”) in response to a determination that a processor has entered a low power consumption state and based on policy information. The logic also blocks/intercepts one or more signals, corresponding to management of the one or more links, that are directed to the processor to allow the processor to stay in the low power consumption. Other embodiments are also claimed and disclosed.