Clooney, who married Hollywood star George Clooney last year, has thrown her legal clout and celebrity behind Fahmy to secure his release.
An Egyptian government official had said that Fahmy, a Canadian citizen, would be freed soon after his Australian colleague Peter Greste was deported on February 1.
"Since Mr Greste's release, Mr Fahmy's Egyptian counsel has been informed by Egyptian government officials that his release was to follow, and that it was imminent," Clooney wrote in the letter addressed to President Abdel Fattah al-Sisi and his foreign minister.
"Since this has not yet occurred, however, I now write to request a meeting with you, or your designated officials, as soon as possible to discuss the status of the case" she wrote.
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Fahmy and Greste, along with Egyptian producer Baher Mohamed, were arrested and sentenced to up to 10 years in prison after being convicted of aiding the blacklisted Muslim Brotherhood in their coverage, a charge rights groups called absurd.
Fahmy had to drop his Egyptian nationality in order to be eligible for release under a Sisi decree that allows the deportation of foreign prisoners.
The former CNN reporter had only recently begun work for the Qatar-owned Al-Jazeera English service when secret police arrested him and his colleagues in December 2013.
Their arrests came against the backdrop of a cold war between Egypt and Qatar, which supported the Islamist movement of president Mohamed Morsi, whom Sisi deposed in July 2013.
"Despite clear assurances that he would be released, Mr Fahmy remains in detention in Egypt," she wrote.
"I therefore plan to visit Cairo in the near future to meet with Mr Fahmy and to discuss the prospects for his release.