More than two years after Eugenie Bouchard fell and hit her head at the United States Open, her lawyers will be in federal court Tuesday in Brooklyn for the start of jury selection in her trial against the United States Tennis Association.

Bouchard sued the U.S.T.A. in 2015, about six weeks after she withdrew from the singles, doubles and mixed doubles events at the U.S. Open because of a concussion she said she had sustained after slipping in the trainers’ room late on Sept. 4. Bouchard blamed her injury on a cleaning fluid applied to the floor in the dimly lit room.

A former top-five player who reached the Wimbledon singles final in 2014, Bouchard is seeking damages for past and future physical and psychological suffering, medical expenses, and lost earnings — which include lost prize money, appearance fees, potential endorsement deals and various bonuses.

The U.S.T.A. has countered Bouchard’s claims of negligence by its tournament staff, contending that she assumed risk by entering the training room after normal hours.