Se você tiver acesso para criar seus certificados para esse servidor, sugiro que crie um certificado que inclua nomes alternativos aos quais o servidor possa ser conhecido. Dessa forma, o navegador resolverá automaticamente o nome correto.
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SAN Certificate (Subject Alternative Name Certificate)
You can setup the wildcard certificate if the domain name for all the sites are same and first level subdomain changes. What if you want to set up the sites which should work on two different domain names, for example, a site with host header as www.testserver1.com and another site with hostheader as www.testserver2.com. In this case Wildcard certificate won’t help you. To resolve this issue we have SAN Certificate.
A SAN cert allows for multiple domain names to be protected with a single certificate. For example, you could get a certificate for myserver.com, and then add more SAN values to have the same certificate protect myserver.org, myserver.net and even myserver2.com or www.example.com.
You can see the domain names in the Subject Alternative Name option in the Certificate