The Dodgers acquired reliever Brandon League from the Mariners on Monday, which many believe was a prelude to another deal.
The Philadelphia Inquirer reported that the Phillies were prepared to make a "flurry of moves" before Tuesday's 4 p.m. trade deadline. Cliff Lee is among the other Philadelphia players who could be moved.
Victorino would help the Dodgers fill out their lineup. The 31-year-old outfielder, a former All-Star and Gold Glove winner, is hitting .261 with nine home runs this season.
A trade for Victorino could end -- or at least hurt -- Los Angeles' chances of acquiring Cubs pitcher Ryan Dempster. Potential talks between the two teams have recently included Alfonso Soriano, but it would seem unlikely the Dodgers would add another outfielder.