Sep 01, 2010 4:14 PM EST

The Yankees were awarded pitcher Ted Lilly on waivers earlier this week, but the Dodgers aren't expected to deal the left-hander to the Bronx.

The Dodgers have informed the Yankees that they have no intention of trading Lilly, according to a source.

"They're going for it," the source said. "They put [Hiroki] Kuroda on the wire, too, and didn't move him either."

Via ESPN