A catheter tip for an infusion catheter has a hollow tubular shaped base member with a pair of annular shaped inflation balloons positioned in parallel on the base member. A plurality of microfibers are mounted on the cylindrical surface section between the balloons. The microfibers are in fluid communication with the lumen of the catheter tip. In operation, the catheter tip is advanced into the vasculature of a patient and to a site in a small vein that is near the target tissue for infusion. The balloons are then inflated to anchor the catheter tip, and fluid medicament is infused through the microfibers. In an alternate embodiment, the microfibers can be replaced with at least one orifice.
