This would work fine provided FQDN of webserver and service on the load balancer are same. Otherwise, you would encounter an SSL certificate warning while accessing the website.
If the FQDN is different on server and service and if you would like to use the same certiifcate then
1) you can get a SAN certificate signed with these hostnames. As you might be aware, SAN certificates can have multiple hostnames
2) a wildcard certificate, if the domain name is same on both web server and service on the ADC.
Kaushik.Go to the full post