Sep 01, 2010 9:20 AM EST

The Yankees were awarded a waiver claim on pitcher Ted Lilly, but the Dodgers appear unwilling to trade the left-hander.

Los Angeles doesn't believe they are out of the postseason race yet.

New York will continue to make a push for Lilly, according to a source.

Even though the deal could happen Wednesday or later, the Yankees believe there is a loophole that because they were awarded the claim before the first of the month, they could use Lilly on their postseason roster.

Via New York Daily News