A method is provided for controlling and/or regulating the air pressure in a compressed air supply device for a utility vehicle. At least one pressure value in the compressed air supply device and/or in vehicle components connected to the compressed air supply device is recorded. A humidity value representing the humidity content in an air filter unit associated with the compressed air supply device is determined. A clutch connecting a drive to a compressor is opened. A discharge valve of the compressed air supply device is opened when the pressure value is above a predetermined minimum value and the humidity value exceeds a predetermined threshold value. The clutch is opened and the discharge valve remains closed when it is indicated that the clutch can be engaged, the pressure value reaches a predetermined cutting-off pressure, and the humidity value is below the predetermined threshold value.