Bill Shaikin of the LA Times says so:
The Dodgers and Padres, fighting in the tightly contested National League West, could use a slugger. The Dodgers have asked the White Sox about outfielder Jermaine Dye, according to a source familiar with the talks. The Padres are intrigued by Dye as well, particularly because he would bring a right-handed bat to a stadium with a 357-foot alley in left-center. The Sox say they're not trading Dye now, certainly not for prospects, but a quality reliever might change their minds. From the Dodgers, that's Jonathan Broxton or Chad Billingsley. From the Padres, that's Scott Linebrink, the human trade rumor. The Padres would love to get a hitter before opponents start giving Adrian Gonzalez the Barry Bonds treatment. Padres General Manager Kevin Towers declined to discuss potential trade targets, Dodgers GM Ned Colletti said he would not comment on trade rumors and White Sox GM Ken Williams did not return a call.
Dodgers GM Ned Coletti:
Ned Colletti makes no attempt to hide the fact that, more than seven weeks before the July 31 trade deadline, he's already burning up the phone lines in pursuit of a big bat. But trading for a middle-of-the-order slugger "is becoming as rare and difficult as acquiring an ace," the Dodgers' general manager said. "The teams that have them don't want to part with them, because they're so tough to find. [Other GMs] see my number come up on their phone, and they just say, 'No.' "