A non-intravascular infusion access device and method for long-term continuous infusion of drugs. The infusion access device includes a porous membrane made of a material which is biocompatible for long-term patency inside the body. The porous membrane is connected to a conducting tubing which exits from the body and is connected to a drug infusion system. At the exit site is a cuff of porous material. The cuff serves to anchor the access device in position as the surrounding body tissue grows back around the cuff. There are also two small suture retainers for stabilizing the position of the access device relative until tissue ingrowth occurs in and around the cuff.