"There are families that managed to escape the gangs of Daesh," the spokesman, Naseer Nuri, told Reuters.
"There is intelligence information from inside the city that they are preventing families from leaving; they plan to use them as human shields," he added, without indicating the number of those who had managed to flee.
Iraqi military planes Sunday dropped leaflets on Ramadi, asking residents to leave within 72 hours and indicating safe routes for their exit.
Iraqi intelligence estimates the number of ISIL militants that are entrenched in the center of Ramadi, capital of Anbar province, at between 250 and 300.