The 30-year-old Olympic and world heptathlon champion was also forced to withdraw from the World Indoor Championships in Portland in March.
It adds to a list of injury setbacks for Ennis-Hill since she returned to competition following the birth of her son last season, having previously damaged a calf muscle on the way to winning the World Championship in Beijing in 2015.
Despite her injury problems, Ennis-Hill has already achieved enough points over the course of the year to ensure qualification for the Olympic games in Rio de Janeiro in August.
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Fellow Britons Katarina Johnson-Thompson and Morgan Lake are both set to compete in Gotzis as they bid to join Ennis-Hill in Rio.
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by Hugh Lawson)
