In a method to operate an ink printing apparatus, and in an ink printing apparatus, a recording medium is directed through a printer. The recording medium is subsequently supplied to a dryer having at least one heating saddle and a drying channel arranged at the heating saddle. In the dryer the recording medium is directed past the heating saddle. A negative pressure is generated in the drying channel via an air exhaust arranged at one end of the drying channel. In the printing operation, in a region of the heating saddle a negative pressure is exerted on the recording medium in a direction of the heating saddle so that the heating saddle is then in contact with the recording medium in order to dry the ink on the recording medium. Upon interruption of the printing operation with braking of the recording medium, the negative pressure in the direction of the heating saddle is deactivated at a beginning of the braking.