The Axios news website reported that the list included ten hostages.
There was no immediate comment from the Israeli prime minister's office.
Prime Minister Benjamin Netanyahu's office said at dawn on Tuesday that Israel had agreed to include 50 Palestinian women prisoners in the list of prisoners scheduled to be released if more Israeli hostages were released from Gaza.
The statement came after Qatari mediators said the four-day truce, which expired on Monday, had been extended for another two days.
The Israeli military said 11 hostages released from Gaza on Monday had arrived in Israel and would undergo an initial medical examination before being reunited with their families.
The Israeli Prison Authority announced, at dawn on Tuesday, the release of 33 Palestinian prisoners under the hostage exchange deal with Hamas.
On Monday, Qatar and Hamas announced the extension of the temporary truce between Israel and the group for two more days.
The spokesman for the Qatari Foreign Ministry stated that "within the framework of the ongoing mediation, an agreement was reached to extend the humanitarian truce for two more days in the Gaza Strip."
Hamas also said in a statement that it "announces the agreement with the brothers in Qatar and Egypt to extend the temporary humanitarian truce for two more days, on the same terms as the previous truce."