The 41-year-old female known as Nola saw her health take a quick turn for the worse.
The eight-year-old male made a long journey to a specialist rhino sanctuary on Sumatra island from a zoo in Cincinnati.
The new captive birth offers hope for the critically endangered species.
The announcement was welcomed by conservationists, who, citing its detrimental impact on wildlife, have long been pushing for an all-out ban.
Only about 100 Sumatran rhinos are believed to exist in the entire world so the pregnancy is seen as tremendously good news.
The new mom is one of eight rhinos relocated from Zimbabwe in June.
Three critically endangered Javan rhino calves have been filmed in an Indonesian national park.
The only woolly rhinoceros infant specimen ever found has its time of death more accurately fixed after an autopsy.
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