H1-B transfer and job title change

geovisa

Registered Users (C)
I currently work at company A on a position that requires only a BS degree. I would like to move to company B and do a H1B transfer. But, company B hires me because I have a Master degree, and in a few months a PhD too.

Question: Is a H1B transfer possible if I change the job title in the sense that the job at the new comapny B requires higher education? Or they have to apply for a new H1B all over again and I enter under the quota?

I appreciate your help!
 
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