Drew, the 29-year-old brother of former Red Sox outfielder J.D. Drew, spent last season with the Diamondbacks and Athletics, appearing in 79 games and batting .223 with a .657 OPS and seven home runs.
Drew, 29, agreed to a $9.5 million deal, according to a tweet from CBS Sports’ Jon Heyman. He suffered a serious ankle injury in the 2011 season in a play at home plate while playing for the Diamondbacks. He was traded to the A’s last August.
Follow Matt Pepin on Twitter at @mattpep15.