In the non-nicotine electronic vaping device, a saturation sensor measures at least one electrical characteristic of the wick between the heating element and the probe wire at a first time and a second time, wherein the at least one electrical characteristic includes a resistance, a capacitance, or both a resistance and a capacitance. Control circuitry is configured to cause the non-nicotine e-vaping device to: calculate a refill rate at which the non-nicotine pre-vapor formulation flows onto the wick based on the at least one electrical characteristic at the first time and the at least one electrical characteristic at the second time; determine that the refill rate is less than a threshold refill rate; and output a low non-nicotine pre-vapor formulation alert in response to determining that the refill rate is less than the threshold refill rate.