Nearly 3,000 Syrians have fled the unrest to Turkey over the past 24 hours, Turkish authorities said on Friday.
Ankara says the daily number of people crossing the border between the two countries has doubled since Damascus vowed to abide by a truce.
Officials say more than 24,000 Syrian refguees are now residing in Turkey.
The country’s foreign minister, Ahmet Davutoglu, said he could appeal to the UN for help if the number of people continues to rise.
Turkey’s government says a continued flood of refugees or increased hostilities near the frontier could prompt it to act to avert “a humanitaran disaster”.
A safe or buffer zone has been suggested as one idea, but Ankara insists such a move is still a long way off.