A person familiar with the proceedings says Alex Rodriguez's lawyers have rested their primary case at the arbitration hearing.
The person spoke on condition of anonymity to The Associated Press on Thursday because no statements were authorized. It was possible the hearing would conclude Friday.
The person added that Major League Baseball has started its rebuttal. Rodriguez's team is still to make its rebuttal.
After the hearing concludes, the sides would set a schedule for briefs. The matter would then be turned over to arbitrator Fredric Horowitz for a decision.
A day earlier, Rodriguez stormed out of the hearing in which he is trying to overturn his 211-game suspension for violating baseball's drug policy and labor agreement. Rodriguez was angry the arbitrator refused to order Commissioner Bud Selig to testify.