General Burhan earlier ordered an investigation into allegations that his troops committed mass atrocities after retaking the state capital of Gezira from their paramilitary rivals.
His move follows widespread concern that civilians – including foreign nationals – have been killed since the Wada Madani takeover.
Neighboring South Sudan said on Wednesday it had summoned Sudan’s ambassador to protest the “death of our innocent citizens”.
Wad Madani, located 87 miles (140 km) south of the capital Khartoum, fell to the RSF about a year ago. The military regained control of it on Saturday.
The city is a strategic crossroads connecting several states with key transport routes. It is also the closest major city to Khartoum.
A Sudanese rights group accused the military of going on a rampage, killing at least 13 people in Camp Taiba, a village about 20 km away.
The UN humanitarian chief in Sudan, Clementina Nkweta-Salami, said she was deeply concerned by reports of retaliatory attacks on civilians in Gezira “based on perceived affiliation or ethnicity”.
US Special Envoy for Sudan Tom Perriello called the reports “appalling” and called on the military and allied groups to investigate and bring those responsible to justice.
General Burhan said he had set up a committee to investigate the alleged killings in the Taiba camp and asked it to report within a week.
He would not comment on South Sudan’s concerns or whether the investigation would focus on alleged atrocities elsewhere in Gezira.
South Sudan’s foreign ministry said it had received a “comprehensive report” from its embassy in Sudan “detailing the unfortunate events that led to the deaths of our innocent citizens who maintain combatant status.”
The military has previously accused the RSF of hiring South Sudanese as “mercenaries” to fight on their side.
