The United Nations has described the exodus from Rakhine state, and the military offensive which provoked it, as a "textbook example of ethnic cleansing".
Their meeting followed Johnson's visit to a refugee camp in Bangladesh's Cox's Bazar district, where almost 700,000 Rohingya have sought sanctuary in squalid settlements since a Myanmar army crackdown in northern Rakhine last August.
Johnson met the embattled Myanmar leader, whose reputation among the global community has crumbled over her handling of the Rohingya crisis, in the capital Naypyidaw while on a four-day tour in Asia.
Myanmar has staunchly denied the charges and blocked United Nations investigators from the conflict zone, souring relations with a host of western allies.
Referring to the Reuters report, Johnson said: "It's an extremely brilliant piece of reporting, providing a very, very important testimonial which I will be bringing up tomorrow, you can be sure, with State Counsellor Daw Aung San Suu Kyi and others".
It is the first time that Reuters has publicly confirmed what the two journalists, Myanmar nationals Wa Lone, 31, and Kyaw Soe Oo, 27, were working on at the time of their arrest two months ago.
But the Nobel laureate has refused to change tack and is accused by critics of bunkering down in a siege mentality. And we are not giving blanket denials."If there was "strong and reliable primary evidence" of abuses, the government would investigate, he said".
Visiting a border refugee camp, the Foreign Secretary said such a return would only be possible if a "political solution" could be found to remove the great danger from going back.
On Saturday Mr Johnson visited refugee families in Cox's Bazar, Bangladesh, where many have fled to from alleged state persecution.
"Discussed importance of Burmese authorities in carrying out full & independent investigation into the violence in #Rakhine & urgent need to create the right conditions for #Rohingya refugees to return to their homes in Rakhine", Johnson wrote on his Twitter account of his meeting with Suu Kyi, who also serves as foreign minister.
On Friday, Myanmar's Catholic cardinal said it's likely that Rohingya Muslim refugees in Bangladesh won't ever go home, and that "the elements of ethnic cleansing" that drove them out are now apparent.