Foreign Minister Mustafa Ismail, quoted by the official SUNA news agency on Sunday, said the Sudanese delegation in Guantanamo expected two Sudanese to be freed shortly and others to be released before it ended its mission to the base in Cuba.
No information was available on the number of the Sudanese in the US detention centre nor on when, how, or where they were arrested.
US officials have been holding more than 600 prisoners there, as part of their so-called war on terror.
Ismail said the Sudanese embassy in London was also following up the case of a Sudanese detained there last month for alleged possession of live ammunition on arrival at Heathrow airport from US Dulles airport in Washington.
Ismail was quoted as saying "we are keen to have" Al-Wasila al-Hibr Wasila freed by the British legal authorities "as we are confident of his innocence".
Last month Ismail said his government was also seeking the release of an unspecified number of Sudanese held in US-occupied Iraq, but there was no further information on the case.
He also said at the same time three Sudanese detained in Israeli prisons were to have been released as part of a prisoner swap that occurred at the end of last month between Israel and Lebanon's Hizb Allah resistance movement.