CPanel Change a Domain IP

I have 12 domains on a shared IP. I want to move one of them to a different IP so that I can install SSL on it.

This site is very active and I do not want to have any down time.

In WHM, under Account Functions/ Change Sites IP Address, There is: Warning: Changing a site's ip address may cause it to appear down from some locations until the dns has propgated to all nameservers on the internet.

Is there anyway of making this change without down time?

Thanks

 

 

 

 

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