The ceasefire agreement between Israel and Hamas says that during the first 42-day phase, Israel must allow at least 60,000 temporary homes and 200,000 tents into Gaza.
Three weeks into the ceasefire between Israel and Hamas, the number of tents and temporary homes entering Gaza risks falling short of the goals set for the deal's first phase.
Hamas has indefinitely delayed the scheduled release of three hostages on Saturday, accusing Israel of obstructing the delivery of tents, pre-fabricated homes and heavy machinery into the devastated territory, where the majority of people are displaced and many live beside the rubble of blasted-out buildings.
But the U.S. official said the number of tents reported by aid groups to be entering Gaza was far from the amount reported by COGAT.
Israel rejects the accusation, and Prime Minister Benjamin Netanyahu has threatened to withdraw from the ceasefire in Gaza and resume the war if Hamas does not release more hostages on schedule.