A control system includes a shift detection module, a request generation module, and a request setting module. The shift detection module detects when a transmission is executing a shift. The request generation module generates a transmission torque request to cause an engine to increase a transmission input shaft speed to a desired speed at a desired gear ratio when the transmission is executing the shift. The request setting module selectively sets the transmission torque request equal to a default torque request when the transmission torque request is greater than a first torque and the engine is coupled to a drive wheel.