Information processing apparatus that suppresses power consumption and method for controlling the same, and storage medium

An information processing apparatus capable of performing communication in a power saving state while being capable of suppressing power consumption. A first communication unit performs communication in a first communication mode, and a second communication unit performs communication in a second communication mode. A communication mode for the communication performed via a cable is switched from the first communication mode to the second communication mode when it is detected that a shifting condition has been satisfied and the specified communication mode is the first communication mode. Power is supplied to the second communication unit and supply of the power to the first communication unit is stopped when the communication mode is switched from the first communication mode to the second communication mode.