Attorney Rebecca Sharpless requests the transfer of 52 of them away from Glades County Detention Center, where their conversations are being recorded in telephone booths.
Assistant U.S. Attorney Dexter Lee says the recordings are routine, but aren't listened to when attorney-client privilege is invoked. Lee says the detainees have the right to a private conversation, "not an unrecorded one."
Federal judge Darrin Gayles will decide Friday on the transfer.
The Somalis gained international attention when they sat shackled on an airplane for two days in an aborted deportation. Their lawsuit alleges they could be targeted by an extremist group back in Somalia.