This is the second tape of Shalit, following an audiotape that was transferred a year ago. However, Israeli officials said they were unaware of the reported developments.
The sources added that Israel is demanding that Egypt and Hamas guarantee that the prisoners, if released, will not renew their terror career.
In the next few days Egyptian mediators plan to hold meetings with both Hamas representatives and Israeli officials in order to draft the final clauses of a deal that would secure Gilad Shalit's release.
The captive soldier's father, Noam Shalit, said Tuesday that efforts to secure his son's release have been ineffective thus far.
"I did not see the effectiveness, determination, and creativity in negotiations…I did not see it when the prime minister assumed it upon itself," Noam Shalit said at a conference on the issue of captives held at Bar-Ilan University.
Prime Minister Ehud Olmert said Monday that "the negotiations for Shalit are being finalized, and the solution won't be simple, easy or quick. Difficult decisions will have to be made here. I hope the nation unites now. We will know how to rise even when we are faced with masses of people rejoicing in the streets, after extorting these painful concessions from us."