In order to address the question of the adaptive changes in executive inhibition induced by expectation, we designed a stop signal task where participants either knew or ignored the possibility of receiving distinct monetary feedbacks after each successful inhibition. Our results confirmed previous observations demonstrating a “kick start effect”: that the presence of a high reward feedback at the beginning of the task has the potential to enhance response inhibition, compared to when participants start with low reward, getting high reward at the end. The progression of inhibition scores (SSRT) evidenced a progressive delta change between the 1st and the following trial blocks when participants were aware of the reward shift. In contrast, the unexpected reward shift group exhibited a main change between the no rewarded and the first rewarded block, with no further changes on the SSRT scores. Our findings suggest that the cognizance of reward magnitudes seems to play a crucial role in executive modulation of inhibition.