Stosur, who won her lone grand slam title at the 2011 U.S. Open when she upset Serena Williams in straight sets, suffered the stress fracture in her hand during a third round clash with American Bethanie Mattek-Sands at Roland Garros.
Stosur's withdrawal has opened up a place for Germany's Annika Beck in the main draw at the year's final grand slam, to be played from Aug. 28-Sept. 10 in New York.
(Reporting by Frank Pingue in Toronto; editing by Ken Ferris)
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