New H1B without I94 when already on H1B

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src1

Registered Users (C)
Hi,

I have a question. Suppose I have an H1B visa from company A and I apply for a NEW (NOT TRANSFER) H1B visa for another company B then

1) my visa for Company A is valid? I assume Yes.
2) Suppose my new H1B visa comes without an I94 then do I need to go OUTSIDE US? I already have a I94 for the visa from company A. Can i use that go regain entry??

Thanks in advance
 
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