"There were around 180 of us on board the boat. which sank because of a leak", a survivor told Tunisia's Mosaique FM radio, describing the boat as nine metres long.
"Up until 10:00GMT, no more bodies have been recovered", he added, saying the search efforts were hampered by strong winds and limited visibility.
At least 112 migrants were killed after a boat with migrants capsized off Tunisia's coast Sunday, UN migration agency, IOM said on Tuesday.
Relatives of Tunisian migrants, who drowned when their boat sank, react as they leave a hospital morgue after identifying the bodies of their family members, in Sfax, Tunisia June 4, 2018.
The International Organization for Migration says most of victims were Tunisian, and estimate a higher death toll at 60 people.
Interior Ministry Spokesman Khalifa Chibani said Tunisian security forces intercepted eight individuals involved in planning this illegal transporting of migrants.
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Migrants try to stay afloat after falling off their rubber dinghy during a rescue operation by the Malta-based NGO Migrant Offshore Aid Station (MOAS) ship in the central Mediterranean in worldwide waters some 15 nautical miles off the coast of Zawiya in Libya, April 14, 2017.
Other survivors said the captain had abandoned the boat after it started sinking to escape arrest by the coast guard.
A total of 68 survivors - including 60 Tunisians - have been rescued since search operations began early Sunday off the Mediterranean coast of Tunisia's southern city of Sfax.
The organizer of the trip received 1,000 dinars (around USD400) for each illegal migrant, he said in a statement.
According to IOM, since the beginning of this year, about 1,910 Tunisian migrants have reached Italy by sea.