The proposal for the Nusra Front was their evacuation to rebel-held areas in northern Syria, said the observatory, adding that the leader of the group in Daraa rejected the evacuation proposal and called for a general mobilization to fight the government forces till the end.
Around 270,000 people have fled their homes since the Assad regime and its allies began their assault on the southern province of Deraa on June 19, according to the UN High Commissioner for Human Rights (UNHCR).
He said the situation in southern Syria was a cause for serious concern and needed to be resolved as soon as possible.
Israel has also said that it will not let in any refugees.
The UN Security Council will hold an emergency meeting Thursday, July 5, to discuss the Syrian army's Russia-backed offensive against rebel groups that has forced some 300,000 people to flee, diplomats said.
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But it is simultaneously brokering talks with opposition fighters that have seen more than 30 towns agree to fall back under regime control so that bombing stops.
The number of displaced has multiplied in the past week, despite talks over the weekend between rebel Free Syrian Army groups and Russian Federation to cede territory.
Malkawi said the United Nations was awaiting the "right time" to begin distributing aid in accordance with the world body's working principles.
"The abject refusal by Jordanian authorities to allow asylum seekers to seek protection not only goes against their worldwide legal obligations, but against basic human decency", said HRW's Lama Fakih.
Jordan has kept its border firmly sealed, insisting it can not handle any more than the 650,000 registered Syrian refugees it already houses, and has instead sent aid into its war-torn neighbour.
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The entire southwest is part of a "de-escalation zone" agreed upon a year ago by Russian Federation, the United States and Jordan.
The hand-over process in Busra al-Sham is expected to be completed on Tuesday, said SANA. Displaced families could return with guarantees by Russian military police.
In a statement on Monday, the civilian half of the Syrian opposition's delegation to hold talks with Russian Federation said they withdrew. Last week, rebels said it had told them not to expect any United States military support.
And regime forces would take over the Nasib border crossing with Jordan as well as deploy along the frontier with the Israeli-occupied Golan Heights, Observatory head Rami Abdel Rahman said.
Many of them have been gathering on the border with Jordan and near the boundary close to the Israeli-occupied Golan Heights, though both countries have insisted they will not accept refugees.
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