(CBS) The White Sox agreed to terms with former Cubs outfielder Kosuke Fukudome Tuesday on a one-year, $1 million contract that includes a club option for 2013.

Fukudome will receive $500,000 in 2012, with the White Sox holding a $3.5 million option for 2013 or a $500,000 buyout.

“Kosuke adds to our outfield depth and gives (manager Robin Ventura) another left-handed bat to mix into the lineup based on matchups,” White Sox assistant general manager Rick Hahn said in a statement.  “He can play center field and right and provides flexibility to our roster.”

Fukudome, 34, hit .262 with 27 doubles, eight home runs, 35 RBI and 58 runs scored in 146 games last season with the Cubs and Cleveland Indians. He was an All-Star as a rookie in 2008.

The outfielder will wear No. 1 for the White Sox and provide outfield depth as well as an extra left-handed bat.

The White Sox 40-man roster is now at 37.