Suburban oven - repeatedly goes off after a while

Had the same issue and the problem was with the pilot ASM itself, and was replaced under warranty. The pilot will stay on all the time till the stove burned is lit and then as the burner warms up the oven the pilot will start going on and off like it was starving for fuel it also made a little popping sound. Then when the burner reached temp and went off the pilot would stay off till the oven cooled and the pilot was relit. Pilot ASM replaced under warranty.