Earlier this month, the duo sealed a deal on the division of top positions within the unified structure, agreeing to a 60-40 distribution in favour of Kiir's side of leadership posts in the army, police and national security forces.
Under the terms of the deal signed on April 3, the graduation of the unified forces should be completed within two months.
Despite the agreement, violence continues to roil the country, with fresh clashes on Friday between pro-Kiir and pro-Machar forces prompting thousands to flee their homes in oil-rich Unity state.