"A new, more secure wall will be erected to preclude any attempts to cross the border illegally," the paper quoted a security source as saying.
Israel's Haaretz daily said Egyptian security forces and Hamas militants had strung barbed wire across one of the breaches in the border near the Gaza town of Rafah, the first sign that the six-day opening of the Gaza-Sinai frontier may finally be drawing to an end.
Hamas has said it may prevent Egypt from sealing the border unless the group's authority is recognized by Cairo.
A wall dividing Egypt and the Gaza town of Rafah was damaged by militants in a series of explosions on January 23. Thousands of Gaza residents, subjected to an Israeli embargo on goods and fuel, have used the opportunity to enter Egypt to buy much-needed supplies.
Palestinian President Mahmoud Abbas said earlier on Wednesday that he will not hold talks with Hamas until the Islamist group cedes control of the Gaza Strip, including border checkpoints.
A top Hamas member said in Egypt on Wednesday that the group is opposed to the involvement of third parties in running the Palestinian-Egyptian border.
