Chinese leaders will woo Myanmar's opposition leader and Nobel laureate Aung San Suu Kyi on her first visit to the country, a snub for the quasi-military government whose fighting with rebels along China's border has angered Beijing.

But the visit will also be awkward for China's ruling Communist Party, as Suu Kyi's fellow Nobel Peace Prize laureate Liu Xiaobo remains in jail and President Xi Jinping is overseeing a sweeping crackdown on dissent.

Activists are putting pressure on Suu Kyi to make some reference to Liu's detention during the visit, and if she does, it will be a huge embarrassment for Beijing.