The camp is part of a US naval base complex in southeastern Cuba.
According to an unconfirmed report by the New York Times. Mr Yazidi has never been charged and his transfer was approved more than a decade ago,
The newspaper also reported that he had been held at Guantanamo since the facility was established in 2002.
According to the Pentagon on Monday statement, external26 prisoners remain in Guantanamo, of which 14 are subject to transfer.
Earlier in December, the Pentagon announced that the US had repatriated three other detainees, This was reported by the Associated Press news agency, external.
The camp was established by the Bush administration to hold the most dangerous suspects for interrogation and prosecution of war crimes.
Controversy centered around the length of time detainees were held without charge and the use of interrogation methods.