You should enable SSL for all pages in your live store. It is recommended to set up a redirect with .htaccess rules to force all web traffic to use the HTTPS version of your site.
Forcing visitors to use SSL can be accomplished through your .htaccess file using mod_rewrite. Ask your hosting support to help you.
Redirect will help to avoid SameSite cookie warning issues and other warnings in case your customers accidentally visit your store with a non-secure HTTP protocol