NAT with out crossing a firewall.

Hello,
 
We have a web server which is behind a firewall. The web server has a
private IP address. The Firewall NAT's from a public IP address to the
private IP address for HTTP and HTTPS traffic. This works well. 
 
I have been asked to allow the web server to be able to browse to its
public IP address. As the HTTP / HTTPS request is not going to cross the
firewall the packet is never going to be translated from the public IP
address to the private. Thus will never be able to browse its self...
 
With out putting an entry in the host file of the server to resolve the
web url to the local host is there anything that could be done on the
firewall? 
 
This must happen a lot in a hosted environment so much so it must have a
term?
 
Any help or pointers welcome. 
 
Regards,
 
Mat. 
 
  
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