A branched hose construction, a T-connector therefor and methods of making the same are provided, the branched hose construction comprising T-connector having a body portion provided with a pair of substantially oppositely directed legs extending therefrom and an outwardly directed branch leg extending therefrom intermediate said pair of legs, and three tubular hoses respectively telescoped onto the legs to be disposed in fluid communication with each other through the T-connector, the body portion of the T-connector having an annular shoulder adjacent each leg thereof against which an annular end surface of its respective hose abuts and which is of a size that causes the external peripheral surface of that respective hose to substantially mate with and thereby be substantially flush with the external peripheral surface of the body portion that is adjacent that respective hose.