Textile fiber carding apparatus is provided with an adjusting system for carrying out linear adjusting movements which are at least esentially independent of friction, and free from jerks and oscillations. The system includes a carrier (20) for the object (12) (e.g., the doffer) to be adjusted and an actuating mechanism (40) in contact with the carrier. The carrier (20) is supported at at least two positions spaced apart from each other in the direction of adjustment on respective supporting devices (26, 26.1). At least one of the supporting devices is formed by a generally cylindrically shaped bellows (28) filled with a bubble free incompressible fluid and is secured at its one end face to the carrier (20) and at its other end face to a foundation (24). At least one flat spring (34, 34.1) is secured at its one end to the foundation (24) and its other end to the carrier (20). One or more addition supporting devices (26, 26.1) may be arranged to permit freedom of movement in the adjusting direction in a manner at least substantially free of friction.