Serena Williams is eyeing a return to the tennis court in just a couple weeks ... so says her agent, Jill Smoller, who tells TMZ Sports the star is hoping to shake off her leg injury in time for the U.S. Open.
You'll recall ... Serena crumpled in pain at Wimbledon during her first-round match on June 29, and things did NOT look good for the 39-year-old.
She yelped as she hit the grass ... and broke down in tears as she left the court -- leaving many to wonder if she could possibly be done for the rest of the year.