A rigid needle guard (10) comprising an inner part (11) made of elastomeric material, and a rigid outer body (12) that is fastened to said inner part (11) made of elastomeric material via a folded-in portion (121) of the bottom axial end of said rigid outer body (12), said folded-in portion (121) extending radially inwards from the outer peripheral surface (125) of said rigid outer body (12), the outer surface of said folded-in portion (121) forming, at its axially-bottom and radially-outer edge, a sharp and acute angle relative to the outer peripheral surface (125) of said rigid outer body (12).
