Adding Server To Uptime On Public And Private Ip

We have added one vserver1234(publicIP) on the uptime. However, we would like to add this server onto Uptime on its private IP as well. But, we are getting below error

[This VMware system is already added as vserver1234]

 

Both public and private IP belongs to vserver1234. Is it possible to add the server onto Uptime on private IP?