Linux – Postfix – Opendkim – Unable to connect to local socket

I am getting denied errors when postfix tries to connect to the unix socket for opendkim, actual error:

Sep 24 15:41:43 service-a-4 postfix/cleanup[17414]: warning: connect to Milter service unix:var/run/opendkim/opendkim.sock: Permission denied

According to postfix docs, postfix is run in "chroot mode" by default, so postfix is locked down to /var/spool/postfix/, and according to the postfix docs, if running in "chroot mode", all milter (socket) references are relative (to /var/spool/postfix).

So my configs look like:

# /etc/opendkim.conf
Socket local:/var/spool/postfix/var/run/opendkim/opendkim.sock

# /etc/postfix/main.cf
smtpd_milters = unix:/var/run/opendkim/opendkim.sock

Now when I try to send a test email I get the permission denied error, so I tried a few permission tests:

# Correctly lists the socket file
sudo su -s /bin/bash postfix -c "ls /var/spool/postfix/var/run/opendkim/opendkim.sock"

But when I try to connect as postfix, nothing happens:

# Does not work
sudo su -s /bin/bash postfix -c "nc -U -D /var/spool/postfix/var/run/opendkim/opendkim.sock"

# Does work (as root)
nc -U -D /var/spool/postfix/var/run/opendkim/opendkim.sock

SELinux is temporarily disabled (permissive) whilst debugging this sitch. And I am restarting both processes (opendkim and postfix) after every config change.

What else am I missing?

Versions:

CentOS 6.5
Postfix v2.6.6
Opendkim v2.9