The invention relates to a needle (10) having a distal end (11), a proximal end (12), and a stem (13) extending therebetween, as well as a tip (14) at the distal end (11) thereof. The needle (10) is provided with a safety device (20), said device being arranged so as to be capable of sliding over the stem (13) between a first position in the proximal area of the stem (13) and a second position at the distal end (11) of the stem. The safety device also includes a recess (21, 22) having a proximal opening (23) and a distal opening (24) for the needle stem to pass therethrough, the tip (14) of the needle being inside the recess when the safety device is in the second position. The device includes a closing device (30) that closes the distal opening (24) of the recess when the needle tip is inside the recess.