The US is concerned about trends toward normalization with the Syrian regime while it faces pressure in Syria and Iraq.
On March 25, Qatar, which has rejected previous calls to reinstate Syria to the Arab League, announced its support for the Jordanian initiative.
Riyadh is positioning itself as a major diplomatic player in the region after years in which it saw its influence eroded.
Syria would also need to take steps to stamp out a multi-billion dollar drug trafficking trade to Jordan and the Gulf from it's southern borders.
Qatar, which has previously spoken out against efforts by some countries to reestablish relations with Damascus, has not changed its position, Sheikh Mohammed said.
Ebrahim Raisi: "The crimes of the Zionist regime are a sign of weakness and are proof of a bright and promising future for the resistance movement."
Assad's regime enables instability through the kinds of incidents like the rocket fire on Saturday night and Sunday morning.