Arbitrator Fredric Horowitz already had presided over eight days of sessions, from Sept. 30-Oct. 3 and from Oct. 15-18. Rodriguez's legal team was set to call witnesses when the hearing resumed.
It was unclear whether the New York Yankees third baseman would testify. He had been scheduled for an investigatory interview with MLB on Friday, but the session was canceled when Rodriguez's side said he was ill with flu-like systems and could not travel from California.
MLB has been expected to assert that Rodriguez should not be allowed to testify at his grievance if he first refused to answer MLB's questions at the investigatory interview.
Rodriguez was suspended for 211 games by MLB on Aug. 5 for alleged violations of the sport's drug agreement and labor contract, and the players' association filed the grievance to overturn the penalty.
The three-time AL MVP said four years ago he used performance-enhancing drugs while with the Texas Rangers from 2001-03, but he has denied using them since. At the time of his suspension, MLB said the penalty was for "use and possession of numerous forms of prohibited performance-enhancing substances, including testosterone and human growth hormone over the course of multiple years" and for "engaging in a course of conduct intended to obstruct and frustrate the office of the commissioner's investigation.":00)