The small white porcelain cup, decorated with a colour painting of a rooster and a hen tending to their chicks, was made during the reign of the Chenghua Emperor between 1465 to 1487, Sotheby's auction house said.
It could sell for an estimated USD 38.68 million or more on Tuesday, deputy chairman for Sotheby's Asia Nicolas Chow said.
If it does, it will break the world record for the sale of any Chinese works or art or porcelain.
The estimate also exceeds the world record for Ming Dynasty porcelain -- currently held by a blue and white vase from the period which sold for HK 168.66 million dollars in 2011.
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The chicken cup represents the pinnacle of Ming-era porcelain production, according to Sotheby's.
"That period in terms of porcelain production was really the peak of material refinement," Chow said, adding that emperors of later Chinese dynasties were so enamoured by the design that the chicken cup was copied extensively.
Only 19 such cups are known to exist, with just four in private collections, Chow said.
The price of Chinese porcelain, he added, is set to rise, with materials scarce and demand "extremely high".
An extremely rare flower-shaped Ruyao porcelain bowl fetched Hong Kong 208 million dollars in April of 2012, smashing pre-sale estimates by about three times and setting a new record for a piece of ceramic from the Northern Song Dynasty (960-1127).
Over 3,700 lots with an estimated worth of more than HK 2.5 billion dollars will be sold at Sotheby's Hong Kong spring sales this year, the auction house said.