Abstract: The transition assembly of the present invention comprises a pneumatic tube which has a longitudinal axis, an entrance end, an exit end, an interior surface and an exterior surface. The entrance end of a furcation tube assembly is placed in an operable relationship to the exit end of the pneumatic tube. The furcation tube assembly comprises at least one furcation tube. The furcation tube has an inner tube, a fibrous sheath surrounding the inner tube, and an outer sheath surrounding the fibrous sheath. At least one furcation tube extends from the entrance end of the furcation tube assembly. The furcation tube has a length of the outer sheath removed to expose the inner tube and the fibrous sheath. The exposed inner tube is disposed within the exit end of the pneumatic tube; extends along the longitudinal axis of the pneumatic tube; and protrudes from the entrance end of the pneumatic tube. A fastener attaches the entrance end of the furcation tube assembly to the exit end of the pneumatic tube.