It looks like Manny will be Manny on the South Side of Chicago.
Ramirez has $3.825 million remaining on his two-year, $45 million contract, of which the White Sox are now responsible.
The Sox, who are 4 1/2 games behind the Minnesota Twins, are in need of some pop in the designated hitter role, where Ramirez will likely play.
Ramirez, 38, is hitting .311 (61-196) with eight home runs and 40 RBI in 66 games with the Dodgers in 2010. He is hitting .357 (20-56) with runners in scoring position, .340 (33-97) with runners on base and .323 (51-158) against right-handed pitchers. Ramirez was on the disabled list from July 20-August 20 with a right calf strain, missing 33 games.
Ramirez, who helped lead the Boston Red Sox to two World Series championships, has spent most of this season on the disabled list.
It's not clear if Ramirez, who wears long dreadlocks, would have to adhere to owner Jerry Reinsdorf's strict grooming policy for players.