Pakistani Prime Minister Shehbaz Sharif, a key intermediary in ceasefire talks, said the two-week ceasefire would include Lebanon, where a new war between Iran-backed Hezbollah and Israel broke out on March 2.
Reuters reported in March that Iran wanted Lebanon included in any deal it made with the United States.
But Israeli Prime Minister Benjamin Netanyahu, while accepting the ceasefire, said early on Wednesday the truce would not include Lebanon.
Israel has issued a new evacuation order for one southern city, indicating it would strike there soon.
Iran-backed Hezbollah was likely to issue a statement outlining its formal position on the ceasefire and on Netanyahu's assertion that Lebanon was not included, the three Lebanese sources said.
Hezbollah's last public statement on its military activity was posted at 1am on Wednesday saying it had targeted Israeli troops inside Lebanon on Tuesday evening.
More than 1500 people have been killed in Israel's air and ground campaign across Lebanon, including 130 children and more than 100 women.
Israel's strikes and orders for people to leave swathes of the south, east and Beirut's southern suburbs have displaced more than 1.2 million people.
Lebanon's army on Wednesday urged displaced families to delay their return home, warning of ongoing Israeli attacks and the risks posed by unexploded ordnance.