A turbine engine unit for lubricating a bearing holder. A turbine engine unit is provided, including an inter-turbine housing that includes a hub including a bearing holder, a ferrule extending around and at a distance from the hub, at least one arm extending radially between the hub and the ferrule, and at least one lead-through for lubricating the bearing holder. The lead-through includes a first pipe having an end portion that can be screwed onto the hub so as to place the first pipe in fluid communication with the bearing holder, an intermediate portion secured to the end portion placed inside the arm when the end portion is screwed onto the hub, and a clamping portion secured to the end portion and rotatable by a clamping tool. The turbine engine unit is characterized in that the clamping portion is located between the screwable end portion and the intermediate portion. A corresponding turbine engine unit assembly method is also provided.