The invention provides a system (1) comprising a sensor (100) for measuring a skin parameter, the sensor (100) comprising (i) a plurality of spatially separated light sources (110) configured to provide light source light (111), and (ii) a detector (120) configured at a first distance (d1) from each of the light sources (110), wherein the sensor (100) is configured to provide the light source light (111) with optical axes (OL) under an angle of incidence (α) selected from the range of 10-80° with the skin at a second distance (d2) and to detect reflected light source light (111), wherein the sensor (100) comprises at least three light sources (110), wherein the light sources (110) are configured to provide unpolarized visible light source light (111), wherein the first distance (d1) is selected from the range of 10-80 mm, wherein the detector (120) is configured to detect polarized light, wherein the sensor (100) comprises a polarizer (104) configured upstream of the detector (120), and wherein the polarizer (104) comprises one or more of (i) a segmented polarizer (1041) and (ii) a spatially varying polarizer (1042).