Abstract: The removable two-way connector is designed for faucets with a nozzle for feeding auxiliary apparatus, such as shower heads, massage devices and the like. It comprises a body with an annular wall divided into four segments and defining a cavity in which a deformable packing sleeve is disposed. The wall has a peripheral wall forming a spiral camming face at each wall segment. A rotary cover caps the cavity and has radially inwardly extending ribs with cam follower faces engaging the spiral camming faces. When the cover is turned, the wall segments are forced radially inwardly by the displacement of the cover ribs along the camming faces whereby the inwardly forced wall segments are pressed against the adjacent deformable sleeve and the sleeve sealingly engages a nozzle surrounded thereby.