The present invention pertains to a method for producing a conduit for a glass melt or a container for a glass melt by forming, on at least a portion of the inner surface of a platinum or platinum alloy hollow tube, a coating obtained by thermal spraying and satisfying conditions (1)-(4) below, and subsequently exposing the coating to an oxygen-containing atmosphere at 1300-1800°C. (1) The average film thickness of the coating is 0.1-0.5 mm; (2) A starting material containing a platinum alloy and at least one element selected from the group consisting of zirconium (Zr) and yttrium (Y) is used in the formation of the coating; (3) The platinum alloy in (2) is an alloy of platinum (Pt) and at least one element selected from the group consisting of rhodium (Rh), iridium (Ir), gold (Au), palladium (Pd), and ruthenium (Ru), and the total content of the element(s) other than platinum is 5-40 mass% relative to the total mass of the platinum alloy; (4) In the starting material in (2), the total content of the element(s) other than the platinum alloy relative to the total mass of the platinum alloy is 0.05-3 mass%.