You will see one of the following:
The domain transfer is ongoing. You can check further information by clicking on your domain name, where you will see if there are any additional notes regarding this status.
In case there is an action required, you can find more about the message and how to solve it in the following article: What does domain transfer status mean?
This means that something went wrong during the transfer. Please get in touch with the Customer Success team to find the reason and solve the issue.