Abstract: A carding machine is provided with two doffer units. Each doffer unit comprises a doffer roller and an intermediate roller coordinated thereto, which rollers are shiftable into two different operating positions. In a first operating position, the intermediated roller is out of operation and the doffer roller works in a usual manner in combination with the main cylinder. In the second operating position the doffer roller is out of operational contact with the main cylinder and the intermediate roller, which has the same direction of rotation as the main cylinder, is positioned so as to transfer the fibers from the main cylinder to the doffer roller. The fiber fleeces leaving each of the doffer units may be combined to form a compound fiber fleece.