The music power couple chose Winfrey for the role because they did not want to select a blood relative, a source told the gossip website Media Take Out.
Jay-Z's best friend and road manager, Tyran "Ty Ty" Smith, was asked to be the child's godfather, the gossip site reported.
The cable network CEO has been a close friend to the pair and reportedly sent baby Blue a trunk full of books after her birth.
Beyonce, 30, and Jay-Z, 42, welcomed their first child in New York on January 7th.
Jay-Z released a hit track "Glory" to celebrate the arrival of their firstborn, in which he revealed that Beyonce had previously suffered a miscarriage.
"Last time the miscarriage was so tragic. We was afraid you'd disappear, but nah, baby, you magic (voila)," he rapped in the single, that debuted at number 74 on Billboard's chart of the top 100 R&B/Hip-Hop Songs.
The couple married in April 2008.
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