A machining tool, in the area of a tool tip, includes an integrated cooling structure for transporting a coolant. The cooling structure is optionally or in combination designed as a porous structure or at least one cooling channel having a bent reversing segment, so that two channel segments are oriented in opposite directions. The cooling structure is integrated into a base body of a carrier tool. According to a method of the invention, the cooling structure is manufactured by means of a 3D printing method.