The deal is worth $9.5 million and is pending a physical.
Drew, who spent the second half of 2012 with the Oakland A’s after a mid-season trade, hit .250 with five home runs and 16 RBI in 39 games in Oakland. He rebounded strong after hitting a meager .193 with the Arizona Diamondbacks to begin the year.
The A’s had interest in bringing back the veteran shortstop, but could not strike a deal despite having mutual interest.
The departure of Drew means the A’s will have to look outside the roster for help at shortstop. Their options now are getting thinner, but trading for Jhonny Peralta of the Tigers or signing Japanese free-agent Hiroyuki Nagasaki are both viable routes for the A’s to take.
Drew declined a $10 million mutual option with the A’s following the 2012 season.