log PID of each connection attempt

Finding the PID of an established connection is trivial using netstat or lsof. However, I have a process which is creating a connection ever 60 seconds to our database and locking it up by maxing out the failed connection attempt limit. I can increase the failed connection limit to something extremely high on the database, or I can try to track down what is making the connection, and I have chosen the latter.

Based on tcpdump/wireshark, I can see that what is happening is that a connection is established and then the connecting server immediately closes the connection before the server can even respond. What I don't know is why.

The first step is to find out what PID is opening the connection. Unfortunately, this seems easier said than done. The problem is that when a connection goes into TIME_WAIT state, it is no longer associated with a PID. Since my connection has a lifetime of less than a tenth of a second, is there any way to record this information?

netstat and lsof appear to be able to poll every second, but this simply isn't fast enough with the connection attempt I am dealing with. Is there a hook that I can connect to to dump this information to a log? Or is my only option to brute force it with a loop and some coding?

I use CentOS 6.