Hamas said on Thursday the only way remaining hostages in Gaza would be freed is through commitment to the ceasefire.
"We renew our full commitment to the ceasefire agreement and confirm our readiness to enter into negotiations for the second phase of the agreement," the group said in a statement.
There are 54 hostages still held in Gaza. Israeli authorities believe fewer than half are still alive.
Israeli Energy Minister Eli Cohen told public broadcaster Kan that Israel demanded that the military stay the Philadelphi Corridor, which runs the length of Gaza's southern border with Egypt.
Israeli troops are supposed to start withdrawing from the Gaza-Egypt border area on Saturday, when the first phase of the ceasefire is set to end.