Cuba's Prensa Latina news agency said that Farc was planning to release Clara Rojas, her son Emmanuel and Consuelo Gonzalez, a former congresswoman.
"The order to release them in Colombia has already been given," according to the communique obtained by Prensa Latina in Bogota.
Rojas was captured along with Ingrid Betancourt, a French-Colombian presidential candidate, in 2002.Prisoner exchange
Farc has previously offered to release 46 hostages, including Betancourt and three US defence contractors, in return for the release of hundreds of imprisoned rebels.
Dozens of people including police officers, former members of congress and provincial governors are being held by the group.
Last year, Jorge Enrique Botero, a Colombian journalist, said in a book that Rojas had given birth to a baby boy, Emmanuel, after a relationship with one of her captors.
Her mother Clara Gonzalez told local radio: "This is the moment I have waited for".
|"This is the moment I |
have waited for"
Clara Gonzalez, mother of Clara Rojas
Gonzalez was kidnapped in September 2001.
Chavez confirmed that he had been told by Farc that the group was planning to release some hostages.
"This appears to be a nice Christmas gift, especially for the families of these people," he said.
Colombia's government said it was reserving judgment on the Farc statement.