Babakura Kolo and Musa Ari, from the Civilian Joint Task Force (CJTF) assisting Nigeria's military against the Islamists, said the bombers were all men.
"Two of the bombers attacked the Tashan Kifi fish market".
A witness at the scene told reporters that "There were a lot of people doing last minute shopping when the suicide bombers hit the market".
Earlier this month, six people were killed and 39 others were injured in a similar attack in the northeastern part of the country. Hospital officials said two patients later died of their injuries.
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The attack happened one day after the army placed a bounty of N3 million on Abubakar Shekau, a faction leader of the Boko Haram sect.
In 2016 the military retook most of the territory, which the terrorist group Boko Haram managed to capture after it launched military operations in 2009, and the government declared the Boko Haram insurgency defeated.
The dreaded militant group has stepped up its campaign of suicide bombing by using girls as "human bombs" to carry out suicide attacks in Nigeria.
Three suspected Boko Haram suicide bombers infiltrated a local market at remote Sabon Gari, in the outskirts of state capital Maiduguri at 8.05 p.m. local time (1905GMT) Friday.
A fourth bomber also blew herself up outside the camp.
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