The move is seen as Google's plan to minimise the use of the word "Android", 9to5google.com reported on Wednesday.
The Android Messages web app has long been hosted at the URL (Uniform Resource Locator) of "messages.android.com".
But in the coming weeks, the service could be shifted to "messages.google.com", the report said, citing an upcoming change to Chrome OS.
It is not yet clear when the change will come into effect, but Google may temporarily use both the URLs for to make the transition to messages.google.com smoother.