Dodgers in serious need of pitching?

Multiple NL sources have informed MLBDD that the Dodgers are in dire need of pitching and are expected to explore the market. The Dodgers are currently working with Charlie Haeger and Jon Ely at the bottom of the rotation, who are winless in nine combined appearances. However, Ely is highly regarded pitching prospect from the White Sox organization and he owns a 4.26 ERA in two starts. 

Yet, besides Clayton Kershaw, who is on a loose pitch count this season, they have DL-bound pitcher Vicente Padilla who may not return till June. Then there's Clay Billingsley, who has yet to find his old 2008-self. Hiroki Kuroda is off to a strong start, but has yet to prove he can anchor a rotation.

The Dodgers have few blue chip prospects that they would actually consider moving, so making a move for a big name pitcher might be difficult. One source suggested the team go after an impending free agent pitcher, like Bronson Arroyo. However, the Dodgers do not have the payroll to add a pitcher for one year, especially someone of Arroyo's caliber. 

If the Dodgers were to make a play for Zack Greinke, they would land a perennial ace who would most definitely fair better in the National League. But what would it cost them?

The Dodgers do not have a position player at the major league they could move that would not create another hole in the lineup. They are spread so thin at the major league level that any packaged deal would have to come from their farm system. 

Jarrod Washburn is still available. The Dodgers would be wise to explore that possibility.