No aid has been delivered to the Palestinian enclave since March 2. Israel has said it would not allow the entry of goods and supplies into Gaza until Palestinian militant group Hamas releases all remaining hostages.
On Friday, the UN World Food Programme (WFP) said it had run out of food stocks in Gaza.
Speaking to reporters aboard Air Force One, Trump was asked whether concerns about humanitarian aid access came up in his phone call with Netanyahu earlier this week.
"Gaza came up and I said, 'We've got to be good to Gaza ... Those people are suffering,'" he said.
When asked whether he raised the issue of opening up access points for aid into Gaza, Trump replied "We are."
"We're going to take care of that. There's a very big need for medicine, food and medicine, and we're taking care of it," he said.
Asked how Netanyahu responded, Trump said: "Felt well about it."
The war in Gaza was triggered on October 7, 2023, when Hamas killed some 1200 people in southern Israel and took some 251 hostages, according to Israeli tallies. Since then, more than 51,300 Palestinians have been killed, according to Gaza health authorities.
"Hunger is spreading in Gaza, malnutrition is deepening in Gaza, injured people and other patients remain untreated in Gaza, and – as we have said before – people are dying," UN spokesman Stephane Dujarric said on Friday.
The WFP said it had run out of food stocks in Gaza due to the sustained closure of crossings into the enclave, while Gaza authorities said Israeli air strikes had killed at least 78 people in the past 24 hours.
"The WFP has depleted all its food stocks for families in Gaza," a WFP statement said, adding the UN agency on Friday delivered its last remaining food stocks to hot meals kitchens in Gaza.
"These kitchens are expected to fully run out of food in the coming days," it said.
Since March 2, Israel completely cut off all supplies to the 2.3 million residents of the Gaza Strip, and food stockpiled during a ceasefire at the start of the year has all but run out.
WFP warned that if the aid blockage was not lifted it might be forced to end its critical assistance.
On March 31, all 25 WFP-supported bakeries closed after wheat flour and cooking fuel ran out, while parcels giving families two weeks of food rations were depleted.
The Hamas-run Gaza government media office on Friday said famine is no longer a looming threat and is becoming a reality.
"Thousands of Palestinian families are now facing starvation after becoming unable to provide even a single meal for their children," it said in a statement.
Fifty-two people have died due to hunger and malnutrition, including 50 children, while more than one million children are experiencing hunger daily, it said.
The Israeli ministry of foreign affairs said 25,000 aid trucks had entered Gaza in the 42 days of the ceasefire - before it shut the border at the start of March - and that Hamas had used the aid to rebuild its war machine.
Food prices have risen 1400 per cent compared to during the ceasefire, WFP said, adding that more than 116,000 metric tons of food assistance which could feed one million people for up to four months is currently stuck at the border crossing.
Sources familiar with the mediation said a Hamas delegation was expected to visit Cairo on Friday to meet Egyptian officials and discuss ways to salvage stalled ceasefire talks.
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