Twenty trucks were unable to transport aid to Palestinian civilians in the besieged Gaza Strip on Tuesday, the United Nations said as U.S. President Joe Biden dubbed humanitarian efforts to deliver help via a crossing from Egypt as "not fast enough."
My speculation is that the IDF will threaten Hamas by saying "give your fuel to the hospitals or we blow up your storage tanks", then bomb it after Hamas refuses. After that happens I think it's likely that some fuel will be allowed to enter Gaza.