She had been enjoying a decent season until the back problem occurred, reaching two semi-finals on the WTA Tour and climbing back up to 34 in the rankings.
"I look forward to returning to the courts as soon as possible, with my goal being to return to Mylan World Team Tennis on 8 July in Washington DC," she added.
"Many thanks to my fans for the love and support and I will be seeing you very soon back on the courts."
Williams complained of back problems after her
first round defeat at the French Open
by Poland's Urszula Radwanska last month, then cited the injury when she and her sister Serena went on to pull out of the doubles competition.
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