We may not yet know:
On the heels of the European epidemic, a widespread disaster occurred in China during 1353–1354. Chinese accounts of this wave of the disease record a spread to eight distinct areas: Hubei, Jiangxi, Shanxi, Hunan, Guangdong, Guangxi, Henan, and Suiyuan,12 throughout the Mongol and Chinese empires. Historian William McNeill noted that voluminous Chinese records on disease and social disruption survive from this period, but no one has studied these sources in depth.13
I'm not a China scholar, but does this sound like a dissertation topic for some eager young scholar? On the other hand, as the following two comments suggest, there may be a very solid reason why there is no scholarship of the plague in China in this period; because there may not have been a plague in China in this period!
Strong hat tip to @Brian-Z, who points out,
"a close examination of the sources on [...] the Yuan Dynasty provides [...] no specific evidence of plague among the many troubles that afflicted fourteenth-century China." Was the Black Death in India and China?
I find Dunstan's 1975 article more instructive, especially pages 32-35. Although she focuses on the early modern period, not the 14th century (the second plague pandemic) the OP asked about, it appears that the this period (the late Ming epidemics 1580-1650) are the earliest clear evidence for bubonic plague in China. As Sussman's article (linked by BrianZ) says, there is no clear evidence for plague in China in the 14th century.
(I'm updating the question because comments are barn cats and both individuals deserve credit for significantly adding to my understanding of the situation.. Alas, I can't give bounty to a comment)