Wiping device for a product applicator, in particular a cosmetic product applicator, the device having an axis A and comprising: a first part forming a support, a second part formed as a wiping sleeve, the wiping sleeve being suitable for wiping an applicator stem immersed in a product to be dispensed by means of the applicator, the first part forming a support comprising an annular base configured to rest on a mouth of a product container, with an axial support flange and a tubular portion centered on the axis A and intended to be mounted radially inside the mouth, the wiping sleeve comprising a root portion connected to the first part, a wiping lip, and an intermediate portion interposed between the root portion and the wiping lip, the wiping sleeve comprising a central passage, wherein the wiping sleeve is generally a shape of revolution around the axis A with a half-section which has the following profile at rest: - a radially inner line, which gradually approaches the axis as one moves away from the root portion, - a scraping tip, situated at the location closest to the axis of the wiping lip, - a front end line, extending radially outwards from the scraping tip, - a radially outer line, which gradually approaches the axis as one moves away from the root portion, doing so at least from the root portion to the intermediate portion, - a drip line defining a drip edge, connected to the front end line and to the radially outer line, the half-section being such that its width E, measured perpendicularly to the axis, increases from the intermediate portion to the scraping tip, the half-section being such that, at the scraping tip, the radially inner line forms an acute angle (β) with the front end line. a first part forming a support, a second part formed as a wiping sleeve, the wiping sleeve being suitable for wiping an applicator stem immersed in a product to be dispensed by means of the applicator, the first part forming a support comprising an annular base configured to rest on a mouth of a product container, with an axial support flange and a tubular portion centered on the axis A and intended to be mounted radially inside the mouth, the wiping sleeve comprising a root portion connected to the first part, a wiping lip, and an intermediate portion interposed between the root portion and the wiping lip, the wiping sleeve comprising a central passage, wherein the wiping sleeve is generally a shape of revolution around the axis A with a half-section which has the following profile at rest: - a radially inner line, which gradually approaches the axis as one moves away from the root portion, - a scraping tip, situated at the location closest to the axis of the wiping lip, - a front end line, extending radially outwards from the scraping tip, - a radially outer line, which gradually approaches the axis as one moves away from the root portion, doing so at least from the root portion to the intermediate portion, - a drip line defining a drip edge, connected to the front end line and to the radially outer line, - a radially inner line, which gradually approaches the axis as one moves away from the root portion, - a scraping tip, situated at the location closest to the axis of the wiping lip, - a front end line, extending radially outwards from the scraping tip, - a radially outer line, which gradually approaches the axis as one moves away from the root portion, doing so at least from the root portion to the intermediate portion, - a drip line defining a drip edge, connected to the front end line and to the radially outer line, the half-section being such that its width E, measured perpendicularly to the axis, increases from the intermediate portion to the scraping tip, the half-section being such that, at the scraping tip, the radially inner line forms an acute angle (β) with the front end line.