The official, who asked not to be named, said the details of Obama's visit to Japan for a Group of Seven summit in late May had yet to be finalised, but a trip to Hiroshima had not been ruled out.
Obama is scheduled to participate in the summit of leading democracies in central Japan's Mie prefecture.
In 2008, then-House speaker Nancy Pelosi visited Hiroshima, becoming the highest, sitting US political figure to visit the city.
Yoshihide Suga, the Japanese government's top spokesman, refrained from directly commenting on the reports, but reiterated Tokyo's position.
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"The government has always called on leaders around the world to visit Hiroshima and Nagasaki to see for themselves the reality of atomic bombings," Suga said.
"We believe (visits) are important to boost international momentum toward achieving a world without nuclear arms."
Washington will make its final decision after a planned trip to Hiroshima by US Secretary of State John Kerry for a meeting of the G7 foreign ministers on April 10-11.
Three days later, the US military dropped a plutonium bomb on the port city of Nagasaki, killing some 74,000 people.
The bombings are controversial in the United States, where opinion remains divided over whether their use in the closing days of World War II was justified.