Abstract: Play-free and centering tube coupling for the spindle of a textile machine, which includes at least three driving elements which are centrically arranged to bear against an inner wall of the tube in a tube receptacle connected nonpositively to the spindle shank. The tube receptacle includes a basic body having a thrust piece arranged axially moveably therein and an end piece fixedly connected to the basic body. The driving elements are designed as driving elements and arranged so as to be movable predominantly radially between the basic body and the thrust piece. Guide slopes are in contact with the driving elements and are in the form of a conically designed collar are arranged on the thrust piece, and detaining centrifugal elements displaceable predominantly radially are arranged between the thrust piece and the end piece. At least one of the faces of the thrust piece and of the end piece which are in contact with the detaining centrifugal elements is designed as a guide slope.