While this is not a setting on the HTTP security page, we should note at this point that you can run Moodle entirely from a secure connection. You can do this by configuring your web server to serve Moodle's address using a secure connection. You will need to speak to your web server administrator for this.
Note that this greatly increases the amount of memory and processing time that your server will use when serving Moodle. Your system administrator will need to closely monitor the performance of the server to ensure that it gives your users acceptable performance.