The protest march was supposed to have taken place on September 10 before it was rescheduled to this week.
LEPOSA wants to ask Dr Majoro to fire the Commissioner of Police, Holomo Molibeli.
The outfit also wants the LMPS to take action against police officers who are implicated in the killing of suspects who were in police holding cells.
According to a press statement released this week, the postponement was made to give enough time to stakeholders who are dealing with the prevailing standoff within the police service.
“We appreciate the retrained maintained by our membership on its entirety at the height of the challenges that our noble association has and continues to overcome. It is important to note that all our activities have and will continue to be in confines with the law,” the statement says.