You can transfer your H1B from Dhoti to current employer or any other vendor once it will starts from October 1st. there are two ways for transferring H1B, regular or Premium. If you want to go for regular, you can start the process now since it will at least take 2-3 months to get approve. Your Dhoti consultancy (current employer) will not have any clue that you already have transferred your H1B, until you tell them. Once everything is approved and transferred, you have to let them know that you will no longer be working with them.

But you know there are some problems you might face while doing this. You need to know what resume dhoti presented to USCIS when they filled your H1. I don’t know how you are going to get that from them. Also, if you have signed any contract with dhoti and if it is still valid, they might make a big deal about it. You also have to make sure that your new employer will be fine with your situation with real/fake resumes.