While a deal hasn't yet been reached, a person familiar with the negotiations said Sunday the sides are getting close. The person spoke on condition of anonymity because talks are ongoing.
Lofton, who turns 40 on May 31, hit .301 with 32 steals and 41 RBIs for the Dodgers last season but was just 1-for-13 (.077) as the Dodgers were swept by the Mets in the first round of the playoffs.
The six-time All-Star has a .299 career average over 16 Major League seasons with Houston, Cleveland, Atlanta, the White Sox, San Francisco, Pittsburgh, the Cubs, the Yankees, Philadelphia and the Dodgers.
Lofton would likely fill the void created when All-Star center fielder Gary Matthews Jr. agreed to a $50 million, five-year deal with the Los Angeles Angels. Matthews had a career-best year, hitting .302 with 19 home runs and 79 RBIs.