A pick-up device (21) comprises a circular ring (23) with a symmetry axis (B-B), divided into two half-rings (23A, 23B) that can be overturned one on the top of the other around an overturning axis (C-C) approximately orthogonal to the symmetry axis (B-B) of the circular ring (23); Each half-ring (23A, 23B) is provided with a respective plurality of pick-up hooks (31), which are movable with respect to the circular half-ring (23 A, 23B) and each of which comprises a pick-up spike (31B) for the pick-up of loops (MP) of the tubular knitted article (M). Each pick-up hook (31) comprises, near the pick-up spike (31B), an abutment surface (39S) so configured and arranged as to position the knitted fabric of the tubular knitted article (M) with respect to the pick-up hook (31).
