The debate on health inequalities usually focuses on the interplay between socioeconomic status (SES) and health, where it is widely accepted that the former influences the latter. However, little is known on whether the influence of SES on health is sufficient to explain the observed lower health statuses among various migrant groups in European countries. This paper presents a model that integrates the influences of SES and migrant status on health and tests its implications empirically for Austria. Several ordered logit regressions are performed, whose results show that particular migrant groups are disadvantaged with respect to health. In addition, the overall influence of migrant status on health is considerably stronger for women than for men, while health status of men is influenced by interactions between migrant status and occupational status. [ABSTRACT FROM AUTHOR]