A wearable-type glucose sensor for continuously or intermittently determining the glucose content comprises a short hollow fiber (2) to be positioned in the subcutaneous tissue. This hollow fiber is connected via tubes (3,4) with component parts (5 . . . 12) located outside the body, such as a measuring unit (11). When a perfusion fluid containing the enzyme glucose oxidase is passed through the hollow fiber, a subcutaneous dialysis will take place in which some glucose dissolves in the perfusion fluid through the wall of the hollow fiber. This glucose is completely oxidized by the oxygen dissolved in the perfusion fluid in the presence of the glucose oxidase. By means of the measuring unit the resultant amount of H.sub.2 O.sub.2 or, preferably, the employed amount of O.sub.2 is determined, both of which are a measure of the subcutaneous glucose concentration.