Fluid is drained from a bleb using a device including a tubular member having opposed open ends to enable the fluid to flow from end to end through the tubular member. Inward from one end is a stop element enabling the one end to be inserted in one direction through a wall of the bleb but preventing the inserted end from being pulled in the opposite direction through the bleb wall. The opposed remote end of the tubular member is inserted into the retrobulbar space to enable fluid exiting the tubular member at this remote end to drain into the tissue. Along an exterior of the tubular member is an anchoring element enabling the device to be sutured in position. An ophthalmic product has a bleb drainage feature.