This device (1) comprising a body (2), a sleeve (3) mobile in relation to said body (2), and locking means (5, 6, 7) enabling locking of the sleeve (3) in a protective position; the sleeve (3) can be moved between a non-protective position, in which an injection member comprised by the injection apparatus is exposed, and said protective position; said locking means (5, 6, 7) comprise at least one flexible proximal leg (7). According to the invention, - the leg (7) comprises a tilted edge (7d) extending over its entire length, forming said additional bearing surface comprised by said leg (7), and -the device comprises at least one wall (10) having a tilted rectilinear edge (10c) also extending over the entire length of this wall, forming said additional bearing surface (10c) of the device (1).