Al-Jazeera journalists Mohamed Fahmy, Baher Mohamed and Peter Greste were jailed for seven years on June 23, 2014.
They were accused of spreading false news and supporting the Islamist group the Muslim Brotherhood.
The court will either uphold the verdict or call for a retrial.
It is thought the Court of Cassation will take one or two sessions to deliver its ruling.
If the court rejects the sentences, the case will return to the criminal court for a retrial.
Should it uphold the verdict, the only other alternative is for Egyptian President Abdel Fattah al-Sisi to offer a pardon.
Egyptian-Canadian bureau chief Mohamed Fahmy, Australian correspondent Peter Greste and Egyptian producer Baher Mohamed were arrested on December 29, 2013.
At the sentencing in June 2014, Mohamed Fahmy received a further three years on charges of possessing “unlicensed ammunition”.
Eleven other defendants, including three foreign journalists, tried in absentia at the same time received 10-year sentences.
The sentencing of the three sparked an international outcry and raised concerns over growing media restrictions in Egypt.
Journalists around the world held silent protests against their imprisonment.
Qatar-base al-Jazeera was banned from operating inside Egypt after the authorities accused it of broadcasting reports sympathetic to former President Mohamed Morsi and the now banned Muslim Brotherhood. Al-Jazeera has consistently denied the allegations.
However, Qatar has supported the Brotherhood and is unpopular with Egypt’s government.
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