Plesk 11.x / Linux :: Selected Site On Default IP Via HTTPS

I have Plesk 11.5 installed on my server. There are about 30 sites on the same shared IP address. I need to set up a site to be accessible via https://<ip-address-of-the-server> . According to the documentation I went to Setting -> IP Addresses and selected the desired site from the drop down. Now http://<ip-address-of-the-server> (note, 80th port) works like a charm. Unfortunately https:// displays only the first page of the selected site; all CSS, JS and other files are not found (404).

I did some research and found that Nginx forwards the requests to Apache for all the PHP files and tries to handle all the static files by itself (what is expected and correct). But it looks like that there is no special configuration for nginx which would specify where to get these static files for the IP address, and Nginx just uses the first loaded config (started from b in my case).

I temporary resolved this issue by modifying the last_nginx.conf for the desired domain this way: listen XX.XX.XX.XX:443 default_server ssl;

Note I added "default_server" directive. Of course it would be erased on each reconfiguration of the config files, but as for now I do not see how I can put it in custom nginx.conf or on the server servel level. I reckon Plesk should include the directive in the file the same way as it produces last_httpd_ip_default.conf Apache config for the selected domain. It looks to be an easy fix on the template level, may be I will do it later, but for now this is just the bug report.