Hi zaggor,
I tried to add this in to OpenLiteSpeed Admin Console>Virtual Hosts > Rewrite > Rewrite Rules, and it works for me:
RewriteEngine On
RewriteCond %{HTTPS} off
RewriteRule (.*) https://%{SERVER_NAME}/$1 [R,L]
Which LSWS edition are you using?
Also just make sure you have enabled...