A spokesperson for the Washington Post, which Bezos bought in 2013 for $250 million, said it is not for sale.
"A Bloomberg acquisition of the (Post) is not necessarily just a business decision.
According to Axios, Bloomberg sees Dow Jones, also the publisher of Barron's and MarketWatch, as the ideal fit but would buy the Post if Bezos was interested in selling.
Dow Jones did not immediately respond to Reuters' request for comment.
Reuters competes with Dow Jones and Bloomberg News, a unit of Bloomberg L.P., a provider of financial news.