The present invention provides non-adhesive oximeter sensors for patients with sensitive skin. Sensors of the present invention include a light emitting diode (LED) and a photodetector. The LED and the photodetector may be covered by a reflective mask and a faraday shield. Sensors of the present invention have a non-adhesive laminated layer. The non-adhesive layer contacts, but does not stick to, the patient's skin. When the sensor is removed from the patient, the non-adhesive layer does not tear or irritate the patient's skin. The non-adhesive layer preferably has a large static coefficient of friction. Sensors of the present invention can also have hook-and-loop layers. The sensor can be attached to the patient's body by wrapping the sensor around the patient and engaging the hook layer to the loop layer.