Some demonstrative embodiments include devices, systems of selectively providing Internet Protocol (IP) session continuity. In one example, a mobile device may include a radio to communicate with a wireless network, the radio to transmit a session setup request to setup a communication session, and to receive a session setup response in response to the session setup request, the session setup response including a first Internet Protocol (IP) address and a second IP address assigned to the communication session, and an indication that the first IP address is configured to maintain IP session continuity; and a controller to select to use the first IP address for the communication session, if IP session continuity is to be maintained for the communication session, and to select to use the second IP address for the communication session, if IP session continuity is not to be maintained for the communication session.