The statement comes after his forces made new progress in chasing away the paramilitary from the capital.
Sudan's regular military has been at war with the paramilitary RSF militia for nearly two years.
The army has "completely secured" the airport in the capital from the paramilitary forces that were stationed there, said the military's spokesperson Nabil Abdallah earlier.
RSF has controlled the airport, which is located just east of the city's government and business district, since the war began.
This week, the military launched an operation to force RSF out of the central parts of the capital Khartoum.
The military has also secured both sides of a key bridge over the White Nile, which runs through the capital, according to sources.
The remnants of the RSF militia are fleeing, a military source said earlier to AFP.
On Friday, the military announced that the presidential palace had been retaken. Since then, the military has, according to eyewitnesses, advanced rapidly in the city's central parts and taken back buildings that RSF seized early in the war.
Tens of thousands of people have been killed in the war, which has led to one of the world's largest hunger and refugee disasters.
