Method for producing a milling tool (11; 111) with a diameter less than or equal to 3 mm and comprising internal channels (17, 19; 117, 119a, 119b) for a cutting fluid, the method comprising the steps of: a) producing a sintered cemented carbide blank of the milling tool; b) cutting the milling tool by grinding the blank; characterised in that step (a) comprises the sub-steps of: a 1) procuring a first sintered cemented carbide bar in the form of a hollow cylinder and a second sintered cemented carbide bar in the form of a solid cylinder; a 2) cross-cutting the first and the second sintered cemented carbide bar in order to obtain respectively a preform of a tubular part and a preform (25; 125) of a head part of the blank of a milling tool, and flattening at least an end face of the preform of a tubular part and an end face (31; 131) of the preform of a head part; a 3) arranging the preform of a tubular part and the preform (25; 125) of a head part on a sintering support, end to end, so that a flattened end face of the preform of a tubular part and a flattened end face (31; 131) of the preform of a head part touch each other; a 4) heating the sintering support with the preform of a tubular part and the preform (25; 125) of a head part under vacuum or in an inert atmosphere, and keeping them at a temperature at least equal to the eutectic temperature of the cemented carbide for a duration sufficient to weld together the preform of a tubular part and the preform of a head part so as to form a unified blank comprising a blind axial hole; a 5) rectifying possible defects in alignment between the two cylindrical parts (23, 25; 125) of the unified blank by means of a "centreless" grinder; and in that the method also comprises an additional step or sub-step consisting of: x) piercing outlet channels (19; 119a, 119b) for the cutting fluid by laser piercing. a) producing a sintered cemented carbide blank of the milling tool; b) cutting the milling tool by grinding the blank; a 1) procuring a first sintered cemented carbide bar in the form of a hollow cylinder and a second sintered cemented carbide bar in the form of a solid cylinder; a 2) cross-cutting the first and the second sintered cemented carbide bar in order to obtain respectively a preform of a tubular part and a preform (25; 125) of a head part of the blank of a milling tool, and flattening at least an end face of the preform of a tubular part and an end face (31; 131) of the preform of a head part; a 3) arranging the preform of a tubular part and the preform (25; 125) of a head part on a sintering support, end to end, so that a flattened end face of the preform of a tubular part and a flattened end face (31; 131) of the preform of a head part touch each other; a 4) heating the sintering support with the preform of a tubular part and the preform (25; 125) of a head part under vacuum or in an inert atmosphere, and keeping them at a temperature at least equal to the eutectic temperature of the cemented carbide for a duration sufficient to weld together the preform of a tubular part and the preform of a head part so as to form a unified blank comprising a blind axial hole; a 5) rectifying possible defects in alignment between the two cylindrical parts (23, 25; 125) of the unified blank by means of a "centreless" grinder; and in that the method also comprises an additional step or sub-step consisting of: x) piercing outlet channels (19; 119a, 119b) for the cutting fluid by laser piercing.