Abstract: A T-shaped hose includes a vulcanized main hose having a wall with an opening therein and a vulcanized branch hose having one end disposed adjacent to the opening in the main hose, so that the hoses are approximately in the form of a "T". A hollow generally cylindrical branch sleeve having a generally outwardly directed flange at its lower end and an annular recess formed in the outer wall of the sleeve adjacent to the flange, is disposed primarily within the branch hose with the flange engaging the inner wall of the main hose and defining therebetween an annular channel. A fixation member composed of a vulcanizable rubber is received with the recess and channel.