The planned downsizing in many organizations which are under the state ownership in Serbia produce a high level of uncertainty and a very specific organizational environment. Investigation of the satisfaction with work-related facets of the employees at the beginning of organizational changes is a very important step toward the building of an appropriate strategy for human resource management. We investigate the moderating effect of the variable 'supervisor support' on the correlations between variables 'Big Five personality traits of employees' and 'satisfaction with work-related facets'. Sample consists of 117 employees from a big state owned organization during an important organizational change. The following instruments are used: Big Five Locator - BFL, Communication Satisfaction Questionnaire - CSQ and Job Satisfaction Questionnaire - JS. Our results prove that the variable 'supervisor support' moderate the correlations between variable 'personality trait conscientiousness' and variables 'satisfaction with pay' and 'satisfaction with benefit'; the correlation between variable 'personality trait openness' and variable 'satisfaction with pay'; the correlations between variable 'personality trait negative affectivity' and variables 'satisfaction with pay', 'satisfaction with benefit', and 'satisfaction with recognition'.