An apparatus for making a nonwoven web comprises a carding drum and a continuously movable, air-permeable collecting surface member, which is arranged to collect the fibers which have been discharged from the carding drum and are entrained by an entraining air stream, through a suction duct, which extends between the carding drum and the collecting surface member. Passages for supplying air to the suction duct are provided throughout a predetermined working width of the drum and disposed adjacent to the duct at leading and trailing boundaries thereof with respect to the direction of rotation of the carding drum. To improve the uniform separation of fibers from the carding drum, it is proposed to arrange worker roller to cooperate with the carding drum adjacent to the leading boundary of the duct, and an air supply passage for supplying a stream of air to be sucked through the throat of the gap between the carding drum and the worker roller is provided between the worker roller and the carding drum and terminates on that side of the worker roller which is remote from the suction duct.