Does the hiss come on suddenly? As though it could be ultrasonic oscillations? You might not hear a pitch, but you might hear noise.
Does the hiss stop suddenly, even when you reduce volume gradually?
Have you examined the output with an oscilloscope?
If your desired audio signal is good, then the hiss is not likely to be parasitic oscillations. Also, you can disregard this idea if gain is very low, or if your circuit contains precautions against parasitic oscillations.