Tooling for the coating of lips of a turbomachine rotor sector, comprising a support for a rotor sector, a centering plate adapted to be inserted into a rotor sector, said centering plate having a central housing, a tool, said tool comprising a centering arm, adapted to be inserted into the central housing of the centering plate, a torch, adapted to spray a ceramic material, a machining tool, said tooling being configured so as to position the tool relative to the rotor sector via the centering plate, and to simultaneously perform on the rotor sector a spraying of ceramic material and a machining on two distinct sectors of the lips.