The invention relates to a motor assembly (2) for a motor unit for driving a shaft for rolling a blind, the assembly (2) including a rotary motor (4) and an output shaft (10) connected to said rotary motor (4) in order to transmit the torque supplied by the rotary motor (4) to said rolling shaft, the output shaft (10) comprising a first socket (42) for receiving a drive member of the rolling shaft of a roller blind. The output shaft (10) also comprises a second socket (44), separate from the first socket (42), for securing a non-roller blind to the rolling shaft.
