Described is a needle safety device (2) comprising a needle hub (2.2) having a radial protrusion (2.2.1), a needle (2.3) coupled to the needle hub (2.2) and having a distal tip (2.3.1), and an inner sleeve (2.4) telescopically coupled to the needle hub (2.2). The inner sleeve (2.4) includes a first track (2.4.3) adapted to engage the radial protrusion (2.2.1). The first track (2.4.3) includes an axial section (2.4.3.1) and a radial section (2.4.3.2). When the inner sleeve (2.4) is in a first advanced position (PA1) and a first angular position (P1) relative to the needle hub (2.2), the radial protrusion (2.2.1) is engaged in the first track (2.4.3) and the distal tip (2.3.1) is covered. When the inner sleeve (2.4) is in a retracted position (PR) relative to the needle hub (2.2), the radial protrusion (2.2.1) is in the axial section (2.4.3.1) and the distal tip (2.3.1) is exposed. When the inner sleeve (2.4) is in a second advanced position (PA2) relative to the needle hub (2.2) and a second angular position (P2), the radial protrusion (2.2.1) is in the radial section (2.4.3.2) and the distal tip is covered.