Can we apply for H1B Visa Transfer right after visa stamping(with old employer's h1b)

kanaksha

New Member
Currently I am in India. I just got my H1 and and my spouse H4 visa stamped last week. My company does not have any new project for which I will be sent to US. At the same time, I am getting offers from other companies for US. Can I transfer my H1b and H4 to the new company without traveling on H1 from first sponsor company? if yes, then how long this process should take?
 
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