If you have to transfer your H1B then, you can’t have the old resume. When your company will file for your H1B transfer, then you will have to have legit resume and you have to make sure, they are okay with it. Dotis will not let you go just like that, make sure you are okay from them to transfer your H1B to your client. First start the process without them knowing it and tell them when everything is done and they will have to transfer it. But I don’t know how you are going to convince your client about your new/old resume, they might not like that, once they find out about your old resume.