Safari's "Not Secure" Warning

It seems that this is to warn users that any information sent via the site, e.g. by filling in a form, will be sent unencrypted. However, since there are no such forms on my site, this seems a bit unnecessary and might make users think that the site is dangerous to browse and riddled with malware of some sort.
No doubt modifying my site to get rid of the warning (and gain the https prefix) would cost real money? I'd be interested to hear what others (including AUGWessex) might plan to do about this, if anything.