Meanwhile, some 1,500 Ugandan troops are to deploy within days to the city as part of an African Union (AU) peacekeeping mission to restore stability.
Although some Somalis welcome their arrival, others feel the force will not achieve much in a nation in chaos since a dictator was ousted in 1991.
Burundi's army said on Sunday the tiny central African nation would also deploy troops to Somalia, and an advance mission could go in days.
Colonel Adolphe Manirakiza, a Burundi army spokesman, said: "Burundi will supply 1,700 troops and the first elements are expected to leave next week."
|Residents of Mogadishu are fleeing their|
homes for the safety of rural areas [EPA]
He added that an additional 80 army officers would also be sent.
Diplomats have urged rich nations to back and fund the AU mission but only about 4,000 troops have been pledged of the 8,000 called for.
Some Islamic courts fighters have vowed to attack any foreign troops dispatched to Somalia.
The government hopes the peace force will help it disarm residents of one of the world's most dangerous cities.
The government had announced a disarmament drive after sweeping into the capital, but few weapons were handed in.