If Haftar's operation to take control of Tripoli proceeds, it could lead the country into a deeper fight as western militias work to expel him from the Captial or even struggle to hold on to the territory they hold to the west of it.
On Saturday he said pro-Haftar fighters were "progressing on several fronts.as planned" and that Tripoli would soon be captured.
A Reuters report stated LNA's spokesman Ahmed Mismari said 14 LNA troops had been killed so far.
The Libyan air force, which is nominally under government control, said it had targeted an area 50km (30 miles) south of the capital on Saturday morning with "intensive strikes".
Forces allied to the Tripoli government, meanwhile, announced an operation called "Volcano of Anger" to defend the capital, a spokesperson said, without giving details.
Forces loyal to the Libyan commander have pressed on with their assault despite worldwide calls to halt hostilities.
On Sunday, the USA military said it had temporarily pulled some of its forces out of Libya amid the upsurge of fighting in the North African country.
"The security realities on the ground in Libya are growing increasingly complex and unpredictable", said US Marine Corps General Thomas Waldhauser, commander of US Africa Command.
He did not provide details on the number of USA troops that have been withdrawn or on how many remain inside the country.
According to reports, Libyan Army Commander Khalifa Hafter ordered his forces Thursday to take over Tripoli, which triggered an escalation in political tension in the country.
Salame was speaking to reporters in Tripoli a day after Khalifa Haftar's forces said they had advanced into the capital's southern outskirts and taken its former global airport.
It is the first removal of USA personnel from Tripoli since the summer of 2014, when America provided air cover for the evacuation of its embassy when fighting erupted in the capital.
CC BY 2.0 US Army AfricaWATCH US Redeploy Military Personnel From Libya as Tensions Rise
The rebels are on the outskirts of the capital and say they have seized Tripoli's worldwide airport.
In a televised address the head of the UN-backed government, Prime Minister Fayez al-Sarraj, accused General Haftar of launching a coup.
"We have extended our hands towards peace but after the aggression that has taken place on the part of forces belonging to Haftar and his declaration of war against our cities and our capital. he will find nothing but strength and firmness", al-Sarraj said.
He did not say where USA forces will relocate to.
He did not say where the United States forces would be relocated.
Forces in Misrata are mostly loyal to the country's government.
A small contingent of American troops has been in Libya in recent years, helping local forces combat Islamic State and al-Qaida militants, as well as protecting diplomatic facilities. He said five of his troops were killed.
It's still unclear how much this is a show of force to bolster Gen Haftar's position or a genuine effort to seize Tripoli.
The development came as United Nations chief Antonio Guterres met Haftar in failed talks and left Libya with a "heavy heart". UN's chief Antonio Guterres, who visited both Tripoli and Tobruk this week, called on both sides to "avoid bloody confrontation".
Eastern Libyan troops have advanced into the southern outskirts of the capital Tripoli in a unsafe thrust against the internationally recognized government.
The UN Security Council held a close-door meeting late on Friday.
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