Didn't get multiple entry stamp

[agnelson]

Well, technically, next time you enter US you don't need anything other than your I-94, since it is valid (you always need your passport, so no point mentionning this as a requirement). CBP is not going to re-evaluate your H1, that is not in their perogative. H1 is not liek a TN, since you can;t get an H1 at the border.

It's just that typically it's better, the first time you re-enter US with an I-94 that was issued by CIS by mail, that the CBP simply issue you a new one -- but it's not required.

[MC]

Hi- I crossed on the 21st with a new I797A, got the H1B stamp and I94 card (white card, the I797A didn't have an I94 attached). After getting through I realized the I94 was not stamped multiple entry (I'm a Canadian Citizen). Any issues with going back through next time? As far as I know the I797A remains valid for the entire duration.

Thanks!

The I-94 is "Multiple Entry" by definition so it would not matter even if they did not stamp it. This is implicitly understood and implied by definition. As long as your I-94 is valid and you have 'status', you can re-enter as many times as you like.