The Japanese government would not comment on the Nobel Prize nomination when asked by ABC News.
However, Professor Jeff Kingston, director of Asian Studies at Temple University Japan, says even if the reports are accurate, the actual divide between the allies may be growing.
"The 'bromance' seems to have fizzled, and being Trump's best friend among world leaders hasn't worked out all that well," Kingston told ABC News.
"Abe has to fret from afar that Trump will cut a deal that leaves Japan vulnerable and essentially normalizes North Korea as a nuclear power. The more we hear about the U.S. and Japan being on the same page signals that there are key differences," he added.
But on the southern island of Okinawa, where most of the U.S. military is based, voters on Sunday overwhelmingly rejected the relocation of a controversial U.S. base, with some 72 percent against the measure.
The Japanese government said it will support the move regardless of public opposition, but the political impact may be considerable.
"'America First' comes at the expense of U.S. allies," Kingston said.
The Okinawa base issue and North Korea almost certainly will be revisited when Trump makes an official visit to Japan in May to meet the new emperor, and later at a Group of 20 Industrialized Nations meeting in June.
For the longtime allies, the year will bring a closer look at the state of ties, and the price of friendship.