A milking device for milking a dairy animal is provided with: a milking cup having a teat space and a pulsation space, - a control device, a vacuum device, a pulsation device configured to apply, in a way which is controllable by the control device, a pressure which varies in a pulsed manner in the pulsation space by means of specifically opening and/or closing a vacuum pressure connection and/or a second (ambient) pressure connection, and a pressure-determining device configured to determine a pressure in the pulsation space and comprising a pressure sensor, and a third pressure connection which runs from the pulsation space to the pressure sensor, wherein the control device is configured to regulate the pulsation device on the basis of the determined pressure, wherein a sensor valve device which is controllable by the control device is also provided in the third pressure connection, which sensor valve device is configured to controllably open and close the third pressure connection. The pressure sensor can thus be screened from the pressure (changes) for a part of the time during which the change is considered to be negligible. This therefore increases the service life of the pressure sensor.La présente invention concerne un dispositif de traite permettant de traire un animal laitier pourvu : dune coupelle de traite présentant un espace de trayon et un espace de pulsation, un dispositif de commande, un dispositif de vide, un dispositif de pulsation configuré pour appliquer, dune manière qui peut être commandée par le dispositif de commande, une pression qui varie de manière pulsée dans lespace de pulsation au moyen en particulier de louverture et/ou de la fermeture dun raccord de pression sous vide et/ou dune seconde connexion de pression (ambiante), et dun dispositif de détermination de pression configuré pour déterminer une pression dans lespace de pulsation et comprenant un capteur de pression, et une troisième connexion de pression qui sétend depuis lespace de