Abstract: The machine has a framework (1) with a rotation drive, spinning stations, a yarn withdrawal unit (2) and yarn winding devices (3) disposed thereon. Each spinning station comprises a fibres feed unit (4) and a spinning chamber (5), having a housing (14) installed on the framework (1) so that it can be withdrawn from the fibres feed unit (4). The yarn withdrawal unit (2) comprises a driving shaft (22) mounted on the framework (1), and pressing rollers (23), which in operating position are resiliently pressed to the driving shaft (22) and can be withdrawn from said driving shaft. Each yarn winding device (3) is mounted at a respective spinning station and comprises a bobbin carrier (27) and a yarn spreader (28). According to the invention each pressing roller (23) is mounted on the housing (14) of the respective spinning chamber (5), and each yarn winding device (3) has operative connection (31) with the housing (14) of a respective spinning chamber (5) to disengage and engage the rotation drive.