A touch-sensitive display, comprising a transmissive panel defining the touch surface, a first set of OLED emitters forming display pixels, a second set of OLED emitters configured to emit light via an adjacent cell into the transmissive panel for propagation therein via total internal reflection, and a set of detectors configured to receive light from the second set of OLED emitters after the light has propagated inside the transmissive panel via total internal reflection. The first set and the second set of OLED emitters are arranged on the same substrate.