"He's on the way," manager Don Mattingly said on Wednesday. "He's getting ready."
Wilson had 48 saves and a 1.81 ERA with the Giants in 2010, when he closed out the World Series. But he's missed most of the past two seasons and is recovering from Tommy John surgery on his right elbow.
While Wilson was an All-Star closer with the Giants, he will likely assume a setup role with the Dodgers.
"He's going to earn whatever he gets," Mattingly said. "We want to put him in a position to have success. Kenley [Jansen] is going to get the ball in the ninth and everyone else is going to get the ball to him."
Austin Laymance is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.