RSF says Farahbakhsh is seriously ill and is being refused proper treatment by the prison authorities.
The journalist's mother, Badri Farahbakhsh, told Radio Farda last week that her son suffers from stomach and kidney problems.
Farahbakhsh was sentenced in March to three years in prison on charges of espionage and receiving money from foreigners.
He was arrested in November after returning from a conference in Thailand.
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