Spouse Travelling to US on H4 when husband's H1b is on a transfer

[anishkumark]

Hi,

 My wife is currently in India and she is travelling to US soon. She has a valid H4 stamped on her passport; but I recently moved to a new job and my H1B is currently on a transfer [normal mode].

I already started working with the new company after receiving the receipt [i797C].  I have following questions:

 

1. Is it safe for her to travel now to US when my H1b transfer is going on ? 

She is also travelling for the first time (So she does not have an SSN).

 

2. If it is safe what all documents should she carry ?

 

3. If it is safe. If at the port of entry the officer asks about the details of the current employer and also about I797B(petition) copy of the spouse what should be her answer and what all documents are needed to support that ?

 

Looking forward to your valuable response.

 

Thanks & Regards