Implantable enzymatic sensors for biochemicals such as glucose are provided having an ideal size and geometry for optional long term implantation and linear responses over the concentration ranges of interest. The sensors include an elongated body supporting an indicative electrode section having an appropriate enzyme immobilized thereon to present an enzymatic indicating surface. A permeable synthetic polymer membrane is applied over the sensor body to protect the enzyme and regulate diffusion of analyte therethrough, to ensure linearity of sensor response. The sensors are of flexible design and can be implanted using a catheter. Alternatively, the sensor includes an internal indicating electrode body housed with an apertured, hollow needle. A holder affixed to the needle allows for easy manipulation and implantation of the sensor.