The documents of the six defendants were referred to the Grand Mufti, who according to the Egyptian law must review all death sentences. His decision is, however, not binding.
Judge Mohammed Shirin Fahmy said that the final verdict will be announced on June 18 after the mufti's response.
Once the final verdict is issued, the sentences can be appealed.
Morsi as well as other defendants are charged with leaking classified documents to Qatar and selling them to Doha-based Al-Jazeera channel.
Morsi's co-defendants include his office director and private secretary.
The classified documents allegedly included information on general and military intelligence, the armed forces, its armaments and the state's policy secrets.
Other charges include leading and joining outlawed group Muslim Brotherhood, that aims at changing the country's regime by force, and attacking army and police posts and public property.
Morsi and Muslim Brotherhood supreme guide Mohamed Badie and 100 other leaders were sentenced in June to death for escaping from prison in 2011.
Badie and Morsi were also sentenced to life in prison in the espionage case.
Their sentences are currently in appeal.
