Atomic stabilization, the suppression of ionization accompanied by electron localization for increasing laser intensities, was one of the recent predictions for atoms exposed to very intense laser pulses. We discuss a fine structure on such an overall trend of stabilization. We describe how the ionization suppression may be reversed as the intensity is increased slightly. This kind of reversal of the ionization trend takes place repeatedly. We study such reversal of ionization as a function of both laser intensity or frequency. We attribute is origin to the interference of the ionizing wave initiated from various parts of the laser dressed atom.