Japanese government officials say Abe will not present Tehran with a list of demands, or deliver a message from Washington, and instead want to position Japan as a neutral intermediary, AFP wrote on Monday.
That could prove useful, said Michael Bosack, special adviser for government relations at the Yokosuka Council on Asia-Pacific Studies.
"Japan carries none of the historical or religious baggage of other potential mediators... (and) has demonstrated its willingness to go its own way on Middle East policy," he told AFP.
"These factors better position Abe for engagement with Ayatollah Khamenei and mean that Japanese-proposed options could allow officials in Iran to entertain proposed off-ramps, without the potential fallout that could come from accepting 'Western' solutions."
Abe will meet Iran’s Leader Ayatollah Seyyed Ali Khamenei and President Hassan Rouhani on the June 12-14 trip – the first time a Japanese prime minister has visited Iran since 1978, a year before the country's Islamic Revolution.
Against that backdrop, Japan is hoping to lower the temperature, officials say, with Abe winning Donald Trump's okay for the mediation trip when the US president visited Tokyo last month.
"We believe it is extremely important that, at the leadership level, we call on Iran as a major regional power to ease tension, to adhere to the nuclear agreement and to play a more constructive role for the region's stability," Chief Cabinet Secretary Yoshihide Suga said ahead of the trip.
Iranian commentators said Abe could ferry messages between the two sides.
"Mr. Abe's visit comes right after meeting Mr. Trump in Japan, therefore the Americans are interested in using this channel," Ebrahim Rahimpour, a former deputy foreign minister, told Iran's Shargh daily ahead of the trip.
Iran will "announce our rights and stances and the other side can announce the messages that could be the US president's message," he said.
But while Japan has longstanding ties with Tehran and warm relations with Washington, experts say Abe has little leverage with either side and mediation will be an uphill struggle.
The trip by the Japanese PM "faces substantial obstacles," said Tobias Harris, an analyst at Teneo consultancy group, in a note on the visit.
"While Japan has good relationships with countries on both sides, these relationships do not necessarily translate into influence," he added.
Japan is not just the messenger – its own interests are also at stake: before US sanctions were reimposed, Tokyo imported around five percent of its oil from Iran and it would suffer from rising crude prices.
The trip also offers Abe a rare role as international statesman, particularly given Tokyo's disappointing recent diplomatic track record.
Efforts this year to resolve a long-running standoff with Russia over a string of disputed islands have run aground.
And Japan has also found itself out of the loop on perhaps the most pressing diplomatic challenge in its backyard: North Korea.
Abe "needs a diplomatic stunt as he faces an impasse on Russia and North Korea," said Tetsuro Kato, political science professor at Tokyo's Waseda University.
But analysts cautioned that expectations would stay low for now.
"Japan has never played an active role in Middle Eastern problems," Kato said.
Bosack said it would be "unrealistic" to expect quick outcomes from the visit.
"Right now, the focus is mitigating military conflict, which means Abe can employ shuttle diplomacy to keep communication going," he said.
"That shuttle diplomacy alone may be enough to de-escalate tensions."