"There is an overall reassessment of the work of the observer mission which we will discuss at the next ministerial meeting to be held in Cairo on Saturday, January 21," League chief Nabil al-Arabi told AFP in Oman.
"There has been partial progress until now but there is daily bloodshed in Syria that the League aims to end.
"The Arab League general secretariat is now examining whether it would be beneficial for the mission to pursue its work in light of the continuing violence," Arabi was quoted as saying by Egypt's official MENA news agency.
"Maybe things are a bit calmer but (the violence) continues. The human conscience cannot accept that any person gets killed."
The interview with the Qatari leader, excerpts of which were sent to AFP by CBS ahead of the broadcast, comes amid increasing concern that the League's mission to monitor conditions on the ground in Syria was failing.
The influential Sheikh Hamad has become one of Assad's most vocal critics.
In August, he described the Syrian regime's heavy-handed use of force against protesters as "fruitless," and urged serious reforms. Doha then withdrew its ambassador from Damascus.
The Qatar-based Al-Jazeera satellite television channel has also come under strong criticism by Syria for its coverage of the uprising.
Meanwhile, a US official said on Friday that Washington has reason to believe Iran is supplying security-related equipment "including munitions" to Syria in its crackdown.
The accusation comes after the head of the elite Revolutionary Guards' Quds force, Qasem Soleimani, visited Damascus earlier this month.
The United States has long suspected that Iran has been aiding Syria's purge as Assad tries to avoid the fate of other Arab dictators felled by the Arab Spring uprisings.
Another official said Soleimani's visit marks the strongest indication yet of direct cooperation between the allies.
On the political front, Britain has also sharply criticised Russia for refusing to support UN Security Council moves against Assad.
British Prime Minister David Cameron said in Saudi Arabia that vetoing a Security Council resolution against Damascus amounted to standing by and watching the "appalling bloodshed."
In October, Russia and China vetoed a Western draft resolution that would have condemned Assad's regime. Moscow later circulated an alternative that would have blamed both sides.
Cameron told Al-Arabiya television that Britain stands ready to take a fresh Syria resolution to the Security Council.
He said it would dare "others that if they want to veto that resolution to try to explain why they are willing to stand by and watch such appalling bloodshed by someone who has turned into such an appalling dictator."
Efforts to isolate the Assad government were boosted by rebel plans to form a high military council headed by a top defector that will oversee military operations against the embattled regime.
General Mustafa Ahmad al-Sheikh, the most senior commander to defect from the Syrian army, will announce the council's formation later on Saturday in Turkey, where he sought refuge 12 days ago, his media adviser said.
Sheikh, 54, was in charge of security in northern Syria before defecting. In a statement, he said he had deserted because he was sickened by the ruthlessness of Assad's regime and all the killings.
Meanwhile, violence in the flashpoint city of Homs reportedly claimed two lives on Saturday. A 13-year-old child was killed by gunfire at a checkpoint, and 27-year-old man shot by snipers, according to the Syrian Observatory for Human Rights.
Separately, the official SANA news agency said three people were injured when a train carrying fuel to a power station in the northwest province of Idlib was hit by a booby trap "laid by terrorists."
- AAP, AFP