I have my approved I797, but my H1B is not stamped yet. Is it possible to transfer my H1B? If possible any references.

USA H1B Visa
1

H1B petition is approved , Valid I797B is there, stamping not yet done. Is it possible to transfer my H1B? If possible any references.

I have my petition filed on 2014 July.

2

Yes, another employer can file a cap-exempt petition for you.