Method for operating a delivery apparatus for delivering a flowable construction material, such as, for example, paint or plaster or mortar, wherein the delivery apparatus comprises a control device, an eccentric screw pump having a rotor-stator unit with an outlet, and a drive unit, wherein the actual pressure is measured by at least two pressure sensors (8, 15, 16), wherein the actual pressure is measured by the first pressure sensor at the outlet, and wherein the actual pressure is measured by the second pressure sensor (15, 16) at the delivery section arranged downstream of the outlet, wherein the delivery section also comprises a discharging device out of which the flowable construction material is sprayed, comprising the steps - that a target pressure which the eccentric screw pump pumping the flowable construction material is intended to achieve at the outlet or at a delivery section arranged downstream of the outlet is preset at a target-pressure setting device, - that a characteristic variable, in particular a mechanical or electrical power and/or a rotational speed and/or a torque and/or a current of the drive unit of the eccentric screw pump is measured, - that an actual pressure in a region of the outlet of the rotor-stator unit and/or in the delivery section arranged downstream of the outlet is measured by at least one pressure sensor (8, 15, 16), - that a change in the actual pressure measured by the at least one pressure sensor (8, 15, 16) is related to at least one of the characteristic variables in such a manner - that, in the event of a rise in the actual pressure above the target pressure, a reduction at least of one of the characteristic variables is brought about by the control device in such a manner that the target pressure is achieved again, and - that, in the event of a pressure drop in the actual pressure below the target pressure, an increase at least of one of the characteristic variables is brought about by the control device in such a manner that the target pressure is achieved again. - that a target pressure which the eccentric screw pump pumping the flowable construction material is intended to achieve at the outlet or at a delivery section arranged downstream of the outlet is preset at a target-pressure setting device, - that a characteristic variable, in particular a mechanical or electrical power and/or a rotational speed and/or a torque and/or a current of the drive unit of the eccentric screw pump is measured, - that an actual pressure in a region of the outlet of the rotor-stator unit and/or in the delivery section arranged downstream of the outlet is measured by at least one pressure sensor (8, 15, 16), - that a change in the actual pressure measured by the at least one pressure sensor (8, 15, 16) is related to at least one of the characteristic variables in such a manner - that, in the event of a rise in the actual pressure above the target pressure, a reduction at least of one of the characteristic variables is brought about by the control device in such a manner that the target pressure is achieved again, and - that, in the event of a pressure drop in the actual pressure below the target pressure, an increase at least of one of the characteristic variables is brought about by the control device in such a manner that the target pressure is achieved again.