A temperature measurement accessory (1) for a terminal block (3), the temperature measurement accessory (1) being configured to measure a temperature and to communicate said measured temperature to a processing unit, the temperature measurement accessory (1) comprising: a mounting mechanism (7) configured to cooperate with the terminal block (3) according to an insertion direction to a mounted position, the mounted mechanism (7) comprising a heat-conductive part (11) configured to cooperate with a current bar (13) of the terminal block (3) in the mounted position; a temperature sensor (15) attached to or located in the heat-conductive part (11); a connecting assembly (17) provided with a plug (19) arranged to cooperate with a complementary socket of the processing unit (5) and provided with at least one connecting wire (23) attached at a first extremity (25) to the temperature sensor (15) and at a second extremity (27) to the plug (19), the first extremity (25) being extending subtantially parallel to the insertion direction or the first extremity (25) being provided with a turning fraction that changes from a transverse to a subtantially parallel orientation to the insertion direction (9) toward the second extremity (27).