The A's expect Cespedes back either Monday or Tuesday, depending on travel arrangements.
"He wanted to go back and see them as soon as possible," A's manager Bob Melvin said. "It was a big day for him; there were tears, then smiles. It wouldn't surprise me if he was back [Monday], but I'm not sure yet."
Even though Cespedes was able to communicate with his family last year, Melvin thought the stress of their uncertain situation weighed on him over the season.
"I know there were times last year he was grinding on it pretty hard, and for good reason," Melvin said. "It was a very emotional day for him, and I know it's a weight off his shoulders. He had to think about it last year, and now he doesn't."
Tyler Emerick is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.