Do you have an internal online recommendation that includes a sponsors trip to the CPO? I have been told most if not all of our current new hires had both of them. I would still apply if you don't have above because maybe they have gone through all the internal recommendations and are calling for interviews directly through the application pool.
Like CAL EWR 737 says, you need someone to go in to the chief pilot or at least someone in the hiring offfice to get your app moving. I had my app in for 8 months with 5 internal online recommendations but it wasn't until I got one of those lazy bums of his butt and into the CPO's office that I got the call for an interview.