A sensor unit for detecting a spatial temperature profile, having at least one substrate with a first surface and a second surface situated at least regionally opposite the first surface. The substrate is configured at least regionally to be flexible. At least one adhesion means is arranged at least regionally on the first surface and/or on the second surface for attaching the sensor unit to at least one measurement body. At least one sensor field is arranged on the second surface of the substrate. One aspect also relates to a method for producing a sensor unit.