Methods, apparatus, systems, and articles of manufacture are disclosed that improve sleep state demotion with a hardware power monitor. An example apparatus includes memory, and processor circuitry to perform at least one of the operations to instantiate: detector circuitry to detect power output data of the computing device via a hardware power monitor, power analyzer circuitry to determine the power output data for sleep states of the computing device based on multiple wake intervals, identifier circuitry to identify crossover thresholds at ones of the multiple wake intervals, and controller circuitry to limit the computing device to the crossover thresholds at ones of the multiple wake intervals.