The three-time Grand Slam champion was a quarterfinalist in last year's French Open. She's failed to reach the final in 11 trips to the year's second major. She hasn't won a Grand Slam since the 2000 Australian Open.
Davenport, 2005 Aussie Open and Wimbledon runner-up, has been sidelined with the back problem since mid-March. She reached the quarterfinals at the Australian Open in January.
"I am working hard to come back as quickly as possible to the circuit," Davenport said.
Davenport, 29, is currently ranked seventh in the world, mostly due to inactivity, after entering the year at No. 1. The American is a four-time year-end No. 1.