A fluid dispense tip includes a bevel at an opening to reduce the amount of surface tension, or “land”, at the opening. The bevel is formed by grinding in a longitudinal direction such that any tooling scars resulting from the grinding operation are likewise longitudinally oriented, further reducing the amount of surface tension in the tip, thereby leading to heightened dispensing accuracy. The tip may be machined from stock as a unitary piece, to increase its lifetime, and may be formed with a bore of a relatively large diameter that is tapered down to a smaller diameter near the tip opening, to allow for delivery of fluid through the tip body at a decreased pressure. The tip may optionally be formed with a Luer™-style fitting on the body, such that the tip is compatible with pumps that utilize such a fitting.