This paper examines the relative well‐being of Portuguese immigrants in Luxembourg by looking at indicators of material deprivation. We document material deprivation differences between immigrants and nationals—the “deprivation gap”—and measure the extent to which income differentials (and other sociodemographic differences) explain this gap using a combination of non‐parametric methods and a versatile graphical device. We find a large and significant deprivation gap against Portuguese immigrants, whatever the indicator considered. The extent to which the gap is merely a reflection of differences in income, however, depends on what deprivation items are taken into consideration. Income differences almost fully account for material deprivation differences when the latter is measured using the items included in the official EU social indicator of material deprivation. Inclusion of housing condition indicators mitigates this relationship and we then find compelling evidence that the deprivation gap is not entirely accounted for by income differentials.