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The network cited unidentified sources at the US State Department in reporting the news.
A State Department official reached by AFP said the department was "not ready" to make a comment on the matter, but did not rule out commenting later.
Prince Sultan, born in 1928, was the 15th son of Saudi King Abdul-Aziz.
According to media reports, in 2004, the prince was diagnosed with colon cancer and underwent several surgeries.
In 2009, he spent several months at New York Presbyterian Hospital where he underwent more surgery and then went for recovery to Agadir, Morocco.
He has spent much of last year in medical treatment.
Copyright AFP (Agence France-Presse), 2011