"The hand-over of accused and convicted persons to foreign countries takes place under specific conditions," a supreme judiciary council official told the Bahraini state news agency. "This does not apply in Abdulhadi al-Khawaja's case."
Human rights organizations have called for the release of Khawaja, who is on day 60 of his fast and is being fed intravenously, the BBC reported Sunday.
Khawaja, a Shia, is protesting the life sentence he received for protesting against Bahrain's royal family, who are Sunni Muslims, the BBC said.
Police arrested his daughter, Zainab, Saturday for protesting over his plight -- she was released Sunday.
"My mother told my Dad that we all support him, that we're proud. We are with him all the way, no matter what he decide[s]," she said on Twitter.
Bahrain Prime Minister Sheik Khalifa bin Salman al-Khalifa said Khawaja should not be released, though the BBC reported Foreign Minister Sheikh Khaled bin Ahmad al-Khalifa is keen to see a resolution.