3814492 - When the new us2/eu2 urls are released will we need to update our SSO URLs?

SAP Concur is swapping their URLs from https://www.concursolutions.com and https://eu1.concursolutions.com to be https://us2.concursolutions.com and https://eu2.concursolutions.com.

To login we use an SSO link like this: https://www.concursolutions.com/UI/SSO/xxxxx .
When the new us2/eu2 URLs are released will we need to update it to be like this: https://us2.concursolutions.com/UI/SSO/xxxxx ?

With the new URLs that SAP Concur are moving to will we need to update any of our own URLs in order for our users to be able to login , KBA , CON-CA-ADM-AUA-MMS , Manage Mobile Sign-On , Problem