A control system for a dry dual clutch transmission (DCT) includes first, second, and third modules. The first module detects whether a hydraulic pressure sensor of a hydraulic fluid delivery system in the dry DCT has failed. The second module estimates a pressure of hydraulic fluid within an accumulator of the hydraulic fluid delivery system based on one of (i) torque generated by and temperature of a hydraulic fluid pump and (ii) a drain down period of the accumulator and a period since the hydraulic fluid pump was on. The third module controls start/stop of the hydraulic fluid pump based on the estimated hydraulic fluid pressure when the hydraulic pressure sensor has failed.